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Finding the Fourth Proportional to 32,505, 48,757.34 and 10,317.90

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Solution

The fourth proportional to 32,505, 48,757.34 and 10,317.90 is: 15,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,505 : 48,757.34 = 10,317.90 : x
  2. Step 2: Convert to fraction form
    32,505/48,757.34 = 10,317.90/x
  3. Step 3: Cross multiply
    32,505x = 48,757.34 × 10,317.90
  4. Step 4: Simplify right side
    32,505x = 503,073,358.39
  5. Step 5: Solve for x
    x = 503,073,358.39/32,505
  6. Step 6: Final answer
    x = 15,476.80

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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.