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Finding the Fourth Proportional to 125,227, 187,851.44 and 31,732.75

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Solution

The fourth proportional to 125,227, 187,851.44 and 31,732.75 is: 47,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,227 : 187,851.44 = 31,732.75 : x
  2. Step 2: Convert to fraction form
    125,227/187,851.44 = 31,732.75/x
  3. Step 3: Cross multiply
    125,227x = 187,851.44 × 31,732.75
  4. Step 4: Simplify right side
    125,227x = 5,961,042,782.66
  5. Step 5: Solve for x
    x = 5,961,042,782.66/125,227
  6. Step 6: Final answer
    x = 47,601.90

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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.