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Finding the Fourth Proportional to 72,772.80, 109,159.20 and 23,524.80

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Solution

The fourth proportional to 72,772.80, 109,159.20 and 23,524.80 is: 35,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,772.80 : 109,159.20 = 23,524.80 : x
  2. Step 2: Convert to fraction form
    72,772.80/109,159.20 = 23,524.80/x
  3. Step 3: Cross multiply
    72,772.80x = 109,159.20 × 23,524.80
  4. Step 4: Simplify right side
    72,772.80x = 2,567,948,348.16
  5. Step 5: Solve for x
    x = 2,567,948,348.16/72,772.80
  6. Step 6: Final answer
    x = 35,287.20

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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.