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Finding the Fourth Proportional to 125,188.39, 187,782.72 and 31,694.14

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Solution

The fourth proportional to 125,188.39, 187,782.72 and 31,694.14 is: 47,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,188.39 : 187,782.72 = 31,694.14 : x
  2. Step 2: Convert to fraction form
    125,188.39/187,782.72 = 31,694.14/x
  3. Step 3: Cross multiply
    125,188.39x = 187,782.72 × 31,694.14
  4. Step 4: Simplify right side
    125,188.39x = 5,951,611,817.26
  5. Step 5: Solve for x
    x = 5,951,611,817.26/125,188.39
  6. Step 6: Final answer
    x = 47,541.24

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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.