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Finding the Fourth Proportional to 34,460.28, 51,691.68 and 9,502.32

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Solution

The fourth proportional to 34,460.28, 51,691.68 and 9,502.32 is: 14,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,460.28 : 51,691.68 = 9,502.32 : x
  2. Step 2: Convert to fraction form
    34,460.28/51,691.68 = 9,502.32/x
  3. Step 3: Cross multiply
    34,460.28x = 51,691.68 × 9,502.32
  4. Step 4: Simplify right side
    34,460.28x = 491,190,884.70
  5. Step 5: Solve for x
    x = 491,190,884.70/34,460.28
  6. Step 6: Final answer
    x = 14,253.83

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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.