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Finding the Fourth Proportional to 31,877.25, 47,772.13 and 20,169.51

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Solution

The fourth proportional to 31,877.25, 47,772.13 and 20,169.51 is: 30,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,877.25 : 47,772.13 = 20,169.51 : x
  2. Step 2: Convert to fraction form
    31,877.25/47,772.13 = 20,169.51/x
  3. Step 3: Cross multiply
    31,877.25x = 47,772.13 × 20,169.51
  4. Step 4: Simplify right side
    31,877.25x = 963,540,352.91
  5. Step 5: Solve for x
    x = 963,540,352.91/31,877.25
  6. Step 6: Final answer
    x = 30,226.58

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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.