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Finding the Fourth Proportional to 34,008.46, 51,016.57 and 9,049.52

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Solution

The fourth proportional to 34,008.46, 51,016.57 and 9,049.52 is: 13,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,008.46 : 51,016.57 = 9,049.52 : x
  2. Step 2: Convert to fraction form
    34,008.46/51,016.57 = 9,049.52/x
  3. Step 3: Cross multiply
    34,008.46x = 51,016.57 × 9,049.52
  4. Step 4: Simplify right side
    34,008.46x = 461,675,470.55
  5. Step 5: Solve for x
    x = 461,675,470.55/34,008.46
  6. Step 6: Final answer
    x = 13,575.31

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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.