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Finding the Fourth Proportional to 29,684, 44,487.12 and 16,542.56

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Solution

The fourth proportional to 29,684, 44,487.12 and 16,542.56 is: 24,792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,684 : 44,487.12 = 16,542.56 : x
  2. Step 2: Convert to fraction form
    29,684/44,487.12 = 16,542.56/x
  3. Step 3: Cross multiply
    29,684x = 44,487.12 × 16,542.56
  4. Step 4: Simplify right side
    29,684x = 735,930,851.83
  5. Step 5: Solve for x
    x = 735,930,851.83/29,684
  6. Step 6: Final answer
    x = 24,792.17

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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.