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Finding the Fourth Proportional to 32,506.28, 48,761.31 and 9,134.54

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Solution

The fourth proportional to 32,506.28, 48,761.31 and 9,134.54 is: 13,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.28 : 48,761.31 = 9,134.54 : x
  2. Step 2: Convert to fraction form
    32,506.28/48,761.31 = 9,134.54/x
  3. Step 3: Cross multiply
    32,506.28x = 48,761.31 × 9,134.54
  4. Step 4: Simplify right side
    32,506.28x = 445,412,136.65
  5. Step 5: Solve for x
    x = 445,412,136.65/32,506.28
  6. Step 6: Final answer
    x = 13,702.34

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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.