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Finding the Fourth Proportional to 32,133.84, 48,203.19 and 9,949.56

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Solution

The fourth proportional to 32,133.84, 48,203.19 and 9,949.56 is: 14,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,133.84 : 48,203.19 = 9,949.56 : x
  2. Step 2: Convert to fraction form
    32,133.84/48,203.19 = 9,949.56/x
  3. Step 3: Cross multiply
    32,133.84x = 48,203.19 × 9,949.56
  4. Step 4: Simplify right side
    32,133.84x = 479,600,531.10
  5. Step 5: Solve for x
    x = 479,600,531.10/32,133.84
  6. Step 6: Final answer
    x = 14,925.09

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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.