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Finding the Fourth Proportional to 71,693.42, 107,562.01 and 36,657.68

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Solution

The fourth proportional to 71,693.42, 107,562.01 and 36,657.68 is: 54,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,693.42 : 107,562.01 = 36,657.68 : x
  2. Step 2: Convert to fraction form
    71,693.42/107,562.01 = 36,657.68/x
  3. Step 3: Cross multiply
    71,693.42x = 107,562.01 × 36,657.68
  4. Step 4: Simplify right side
    71,693.42x = 3,942,973,742.74
  5. Step 5: Solve for x
    x = 3,942,973,742.74/71,693.42
  6. Step 6: Final answer
    x = 54,997.71

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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.