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Finding the Fourth Proportional to 125,238.25, 187,868.31 and 31,744

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Solution

The fourth proportional to 125,238.25, 187,868.31 and 31,744 is: 47,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,238.25 : 187,868.31 = 31,744 : x
  2. Step 2: Convert to fraction form
    125,238.25/187,868.31 = 31,744/x
  3. Step 3: Cross multiply
    125,238.25x = 187,868.31 × 31,744
  4. Step 4: Simplify right side
    125,238.25x = 5,963,691,632.64
  5. Step 5: Solve for x
    x = 5,963,691,632.64/125,238.25
  6. Step 6: Final answer
    x = 47,618.77

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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.