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Finding the Fourth Proportional to 71,537.92, 107,412.22 and 40,009.74

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Solution

The fourth proportional to 71,537.92, 107,412.22 and 40,009.74 is: 60,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,537.92 : 107,412.22 = 40,009.74 : x
  2. Step 2: Convert to fraction form
    71,537.92/107,412.22 = 40,009.74/x
  3. Step 3: Cross multiply
    71,537.92x = 107,412.22 × 40,009.74
  4. Step 4: Simplify right side
    71,537.92x = 4,297,534,995.02
  5. Step 5: Solve for x
    x = 4,297,534,995.02/71,537.92
  6. Step 6: Final answer
    x = 60,073.52

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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.