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Finding the Fourth Proportional to 91,864, 137,815.48 and 29,539.36

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Solution

The fourth proportional to 91,864, 137,815.48 and 29,539.36 is: 44,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,864 : 137,815.48 = 29,539.36 : x
  2. Step 2: Convert to fraction form
    91,864/137,815.48 = 29,539.36/x
  3. Step 3: Cross multiply
    91,864x = 137,815.48 × 29,539.36
  4. Step 4: Simplify right side
    91,864x = 4,070,981,077.29
  5. Step 5: Solve for x
    x = 4,070,981,077.29/91,864
  6. Step 6: Final answer
    x = 44,315.30

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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.