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Finding the Fourth Proportional to 29,023.12, 43,534.68 and 8,243.92

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Solution

The fourth proportional to 29,023.12, 43,534.68 and 8,243.92 is: 12,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,023.12 : 43,534.68 = 8,243.92 : x
  2. Step 2: Convert to fraction form
    29,023.12/43,534.68 = 8,243.92/x
  3. Step 3: Cross multiply
    29,023.12x = 43,534.68 × 8,243.92
  4. Step 4: Simplify right side
    29,023.12x = 358,896,419.15
  5. Step 5: Solve for x
    x = 358,896,419.15/29,023.12
  6. Step 6: Final answer
    x = 12,365.88

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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.