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Finding the Fourth Proportional to 64,272.60, 96,380.10 and 24,816.60

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Solution

The fourth proportional to 64,272.60, 96,380.10 and 24,816.60 is: 37,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,272.60 : 96,380.10 = 24,816.60 : x
  2. Step 2: Convert to fraction form
    64,272.60/96,380.10 = 24,816.60/x
  3. Step 3: Cross multiply
    64,272.60x = 96,380.10 × 24,816.60
  4. Step 4: Simplify right side
    64,272.60x = 2,391,826,389.66
  5. Step 5: Solve for x
    x = 2,391,826,389.66/64,272.60
  6. Step 6: Final answer
    x = 37,213.78

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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.