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Finding the Fourth Proportional to 127,565.73, 191,348.61 and 38,844.61

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Solution

The fourth proportional to 127,565.73, 191,348.61 and 38,844.61 is: 58,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,565.73 : 191,348.61 = 38,844.61 : x
  2. Step 2: Convert to fraction form
    127,565.73/191,348.61 = 38,844.61/x
  3. Step 3: Cross multiply
    127,565.73x = 191,348.61 × 38,844.61
  4. Step 4: Simplify right side
    127,565.73x = 7,432,862,367.33
  5. Step 5: Solve for x
    x = 7,432,862,367.33/127,565.73
  6. Step 6: Final answer
    x = 58,266.92

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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.