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Finding the Fourth Proportional to 32,679.38, 49,019.67 and 9,306.42

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Solution

The fourth proportional to 32,679.38, 49,019.67 and 9,306.42 is: 13,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,679.38 : 49,019.67 = 9,306.42 : x
  2. Step 2: Convert to fraction form
    32,679.38/49,019.67 = 9,306.42/x
  3. Step 3: Cross multiply
    32,679.38x = 49,019.67 × 9,306.42
  4. Step 4: Simplify right side
    32,679.38x = 456,197,637.28
  5. Step 5: Solve for x
    x = 456,197,637.28/32,679.38
  6. Step 6: Final answer
    x = 13,959.80

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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.