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Finding the Fourth Proportional to 32,679.95, 49,028.12 and 9,306.38

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Solution

The fourth proportional to 32,679.95, 49,028.12 and 9,306.38 is: 13,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,679.95 : 49,028.12 = 9,306.38 : x
  2. Step 2: Convert to fraction form
    32,679.95/49,028.12 = 9,306.38/x
  3. Step 3: Cross multiply
    32,679.95x = 49,028.12 × 9,306.38
  4. Step 4: Simplify right side
    32,679.95x = 456,274,023.73
  5. Step 5: Solve for x
    x = 456,274,023.73/32,679.95
  6. Step 6: Final answer
    x = 13,961.90

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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.