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Finding the Fourth Proportional to 71,128.92, 106,708.36 and 24,385.44

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Solution

The fourth proportional to 71,128.92, 106,708.36 and 24,385.44 is: 36,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,128.92 : 106,708.36 = 24,385.44 : x
  2. Step 2: Convert to fraction form
    71,128.92/106,708.36 = 24,385.44/x
  3. Step 3: Cross multiply
    71,128.92x = 106,708.36 × 24,385.44
  4. Step 4: Simplify right side
    71,128.92x = 2,602,130,310.28
  5. Step 5: Solve for x
    x = 2,602,130,310.28/71,128.92
  6. Step 6: Final answer
    x = 36,583.30

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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.