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Finding the Fourth Proportional to 125,091.52, 187,645.92 and 41,992

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Solution

The fourth proportional to 125,091.52, 187,645.92 and 41,992 is: 62,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,091.52 : 187,645.92 = 41,992 : x
  2. Step 2: Convert to fraction form
    125,091.52/187,645.92 = 41,992/x
  3. Step 3: Cross multiply
    125,091.52x = 187,645.92 × 41,992
  4. Step 4: Simplify right side
    125,091.52x = 7,879,627,472.64
  5. Step 5: Solve for x
    x = 7,879,627,472.64/125,091.52
  6. Step 6: Final answer
    x = 62,990.90

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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.