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Finding the Fourth Proportional to 71,158.01, 106,733.17 and 36,096.76

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Solution

The fourth proportional to 71,158.01, 106,733.17 and 36,096.76 is: 54,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,158.01 : 106,733.17 = 36,096.76 : x
  2. Step 2: Convert to fraction form
    71,158.01/106,733.17 = 36,096.76/x
  3. Step 3: Cross multiply
    71,158.01x = 106,733.17 × 36,096.76
  4. Step 4: Simplify right side
    71,158.01x = 3,852,720,997.62
  5. Step 5: Solve for x
    x = 3,852,720,997.62/71,158.01
  6. Step 6: Final answer
    x = 54,143.18

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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.