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Finding the Fourth Proportional to 121,565.80, 182,330.46 and 38,449

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Solution

The fourth proportional to 121,565.80, 182,330.46 and 38,449 is: 57,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,565.80 : 182,330.46 = 38,449 : x
  2. Step 2: Convert to fraction form
    121,565.80/182,330.46 = 38,449/x
  3. Step 3: Cross multiply
    121,565.80x = 182,330.46 × 38,449
  4. Step 4: Simplify right side
    121,565.80x = 7,010,423,856.54
  5. Step 5: Solve for x
    x = 7,010,423,856.54/121,565.80
  6. Step 6: Final answer
    x = 57,667.73

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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.