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Finding the Fourth Proportional to 71,538.93, 107,327.10 and 41,524.31

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Solution

The fourth proportional to 71,538.93, 107,327.10 and 41,524.31 is: 62,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,538.93 : 107,327.10 = 41,524.31 : x
  2. Step 2: Convert to fraction form
    71,538.93/107,327.10 = 41,524.31/x
  3. Step 3: Cross multiply
    71,538.93x = 107,327.10 × 41,524.31
  4. Step 4: Simplify right side
    71,538.93x = 4,456,683,235.17
  5. Step 5: Solve for x
    x = 4,456,683,235.17/71,538.93
  6. Step 6: Final answer
    x = 62,297.31

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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.