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Finding the Fourth Proportional to 64,223.20, 96,351.60 and 24,781.60

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Solution

The fourth proportional to 64,223.20, 96,351.60 and 24,781.60 is: 37,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,223.20 : 96,351.60 = 24,781.60 : x
  2. Step 2: Convert to fraction form
    64,223.20/96,351.60 = 24,781.60/x
  3. Step 3: Cross multiply
    64,223.20x = 96,351.60 × 24,781.60
  4. Step 4: Simplify right side
    64,223.20x = 2,387,746,810.56
  5. Step 5: Solve for x
    x = 2,387,746,810.56/64,223.20
  6. Step 6: Final answer
    x = 37,178.88

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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.