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Finding the Fourth Proportional to 125,239.68, 187,857.09 and 31,743

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Solution

The fourth proportional to 125,239.68, 187,857.09 and 31,743 is: 47,613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,239.68 : 187,857.09 = 31,743 : x
  2. Step 2: Convert to fraction form
    125,239.68/187,857.09 = 31,743/x
  3. Step 3: Cross multiply
    125,239.68x = 187,857.09 × 31,743
  4. Step 4: Simplify right side
    125,239.68x = 5,963,147,607.87
  5. Step 5: Solve for x
    x = 5,963,147,607.87/125,239.68
  6. Step 6: Final answer
    x = 47,613.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.