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Finding the Fourth Proportional to 125,237.25, 187,866.81 and 31,743

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Solution

The fourth proportional to 125,237.25, 187,866.81 and 31,743 is: 47,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,237.25 : 187,866.81 = 31,743 : x
  2. Step 2: Convert to fraction form
    125,237.25/187,866.81 = 31,743/x
  3. Step 3: Cross multiply
    125,237.25x = 187,866.81 × 31,743
  4. Step 4: Simplify right side
    125,237.25x = 5,963,456,149.83
  5. Step 5: Solve for x
    x = 5,963,456,149.83/125,237.25
  6. Step 6: Final answer
    x = 47,617.27

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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.