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Finding the Fourth Proportional to 86,066.23, 129,046.50 and 29,882.20

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Solution

The fourth proportional to 86,066.23, 129,046.50 and 29,882.20 is: 44,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,066.23 : 129,046.50 = 29,882.20 : x
  2. Step 2: Convert to fraction form
    86,066.23/129,046.50 = 29,882.20/x
  3. Step 3: Cross multiply
    86,066.23x = 129,046.50 × 29,882.20
  4. Step 4: Simplify right side
    86,066.23x = 3,856,193,322.30
  5. Step 5: Solve for x
    x = 3,856,193,322.30/86,066.23
  6. Step 6: Final answer
    x = 44,804.95

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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.