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Finding the Fourth Proportional to 32,190.84, 48,286.25 and 9,998.25

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Solution

The fourth proportional to 32,190.84, 48,286.25 and 9,998.25 is: 14,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,190.84 : 48,286.25 = 9,998.25 : x
  2. Step 2: Convert to fraction form
    32,190.84/48,286.25 = 9,998.25/x
  3. Step 3: Cross multiply
    32,190.84x = 48,286.25 × 9,998.25
  4. Step 4: Simplify right side
    32,190.84x = 482,777,949.07
  5. Step 5: Solve for x
    x = 482,777,949.07/32,190.84
  6. Step 6: Final answer
    x = 14,997.37

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.