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Finding the Fourth Proportional to 34,468.68, 51,693.57 and 9,502.86

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Solution

The fourth proportional to 34,468.68, 51,693.57 and 9,502.86 is: 14,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,468.68 : 51,693.57 = 9,502.86 : x
  2. Step 2: Convert to fraction form
    34,468.68/51,693.57 = 9,502.86/x
  3. Step 3: Cross multiply
    34,468.68x = 51,693.57 × 9,502.86
  4. Step 4: Simplify right side
    34,468.68x = 491,236,758.61
  5. Step 5: Solve for x
    x = 491,236,758.61/34,468.68
  6. Step 6: Final answer
    x = 14,251.68

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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.