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Finding the Fourth Proportional to 31,500.48, 47,280 and 15,929.28

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Solution

The fourth proportional to 31,500.48, 47,280 and 15,929.28 is: 23,908.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.48 : 47,280 = 15,929.28 : x
  2. Step 2: Convert to fraction form
    31,500.48/47,280 = 15,929.28/x
  3. Step 3: Cross multiply
    31,500.48x = 47,280 × 15,929.28
  4. Step 4: Simplify right side
    31,500.48x = 753,136,358.40
  5. Step 5: Solve for x
    x = 753,136,358.40/31,500.48
  6. Step 6: Final answer
    x = 23,908.73

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