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Finding the Fourth Proportional to 71,147.82, 98,185.84 and 38,883.80

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Solution

The fourth proportional to 71,147.82, 98,185.84 and 38,883.80 is: 53,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,147.82 : 98,185.84 = 38,883.80 : x
  2. Step 2: Convert to fraction form
    71,147.82/98,185.84 = 38,883.80/x
  3. Step 3: Cross multiply
    71,147.82x = 98,185.84 × 38,883.80
  4. Step 4: Simplify right side
    71,147.82x = 3,817,838,565.39
  5. Step 5: Solve for x
    x = 3,817,838,565.39/71,147.82
  6. Step 6: Final answer
    x = 53,660.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.