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Finding the Fourth Proportional to 48,227.20, 72,340.80 and 32,480.80

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Solution

The fourth proportional to 48,227.20, 72,340.80 and 32,480.80 is: 48,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,227.20 : 72,340.80 = 32,480.80 : x
  2. Step 2: Convert to fraction form
    48,227.20/72,340.80 = 32,480.80/x
  3. Step 3: Cross multiply
    48,227.20x = 72,340.80 × 32,480.80
  4. Step 4: Simplify right side
    48,227.20x = 2,349,687,056.64
  5. Step 5: Solve for x
    x = 2,349,687,056.64/48,227.20
  6. Step 6: Final answer
    x = 48,721.20

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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.