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Finding the Fourth Proportional to 32,586.18, 48,882.92 and 9,214.44

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Solution

The fourth proportional to 32,586.18, 48,882.92 and 9,214.44 is: 13,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,586.18 : 48,882.92 = 9,214.44 : x
  2. Step 2: Convert to fraction form
    32,586.18/48,882.92 = 9,214.44/x
  3. Step 3: Cross multiply
    32,586.18x = 48,882.92 × 9,214.44
  4. Step 4: Simplify right side
    32,586.18x = 450,428,687.29
  5. Step 5: Solve for x
    x = 450,428,687.29/32,586.18
  6. Step 6: Final answer
    x = 13,822.69

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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.