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Finding the Fourth Proportional to 32,679.87, 49,019.82 and 9,306.30

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Solution

The fourth proportional to 32,679.87, 49,019.82 and 9,306.30 is: 13,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,679.87 : 49,019.82 = 9,306.30 : x
  2. Step 2: Convert to fraction form
    32,679.87/49,019.82 = 9,306.30/x
  3. Step 3: Cross multiply
    32,679.87x = 49,019.82 × 9,306.30
  4. Step 4: Simplify right side
    32,679.87x = 456,193,150.87
  5. Step 5: Solve for x
    x = 456,193,150.87/32,679.87
  6. Step 6: Final answer
    x = 13,959.45

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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.