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Finding the Fourth Proportional to 71,840, 99,132.10 and 40,011.86

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Solution

The fourth proportional to 71,840, 99,132.10 and 40,011.86 is: 55,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,840 : 99,132.10 = 40,011.86 : x
  2. Step 2: Convert to fraction form
    71,840/99,132.10 = 40,011.86/x
  3. Step 3: Cross multiply
    71,840x = 99,132.10 × 40,011.86
  4. Step 4: Simplify right side
    71,840x = 3,966,459,706.71
  5. Step 5: Solve for x
    x = 3,966,459,706.71/71,840
  6. Step 6: Final answer
    x = 55,212.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.