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Finding the Fourth Proportional to 48,821.70, 73,148.88 and 32,781.18

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Solution

The fourth proportional to 48,821.70, 73,148.88 and 32,781.18 is: 49,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,821.70 : 73,148.88 = 32,781.18 : x
  2. Step 2: Convert to fraction form
    48,821.70/73,148.88 = 32,781.18/x
  3. Step 3: Cross multiply
    48,821.70x = 73,148.88 × 32,781.18
  4. Step 4: Simplify right side
    48,821.70x = 2,397,906,602.08
  5. Step 5: Solve for x
    x = 2,397,906,602.08/48,821.70
  6. Step 6: Final answer
    x = 49,115.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.