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Finding the Fourth Proportional to 32,617.20, 48,934.02 and 9,243.84

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Solution

The fourth proportional to 32,617.20, 48,934.02 and 9,243.84 is: 13,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,617.20 : 48,934.02 = 9,243.84 : x
  2. Step 2: Convert to fraction form
    32,617.20/48,934.02 = 9,243.84/x
  3. Step 3: Cross multiply
    32,617.20x = 48,934.02 × 9,243.84
  4. Step 4: Simplify right side
    32,617.20x = 452,338,251.44
  5. Step 5: Solve for x
    x = 452,338,251.44/32,617.20
  6. Step 6: Final answer
    x = 13,868.09

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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.