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Finding the Fourth Proportional to 93,792.52, 140,566.74 and 71,524

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Solution

The fourth proportional to 93,792.52, 140,566.74 and 71,524 is: 107,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,792.52 : 140,566.74 = 71,524 : x
  2. Step 2: Convert to fraction form
    93,792.52/140,566.74 = 71,524/x
  3. Step 3: Cross multiply
    93,792.52x = 140,566.74 × 71,524
  4. Step 4: Simplify right side
    93,792.52x = 10,053,895,511.76
  5. Step 5: Solve for x
    x = 10,053,895,511.76/93,792.52
  6. Step 6: Final answer
    x = 107,192.94

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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.