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Finding the Fourth Proportional to 32,033.97, 48,057.15 and 9,843.42

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Solution

The fourth proportional to 32,033.97, 48,057.15 and 9,843.42 is: 14,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.97 : 48,057.15 = 9,843.42 : x
  2. Step 2: Convert to fraction form
    32,033.97/48,057.15 = 9,843.42/x
  3. Step 3: Cross multiply
    32,033.97x = 48,057.15 × 9,843.42
  4. Step 4: Simplify right side
    32,033.97x = 473,046,711.45
  5. Step 5: Solve for x
    x = 473,046,711.45/32,033.97
  6. Step 6: Final answer
    x = 14,767.03

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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.