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Finding the Fourth Proportional to 72,921.20, 109,381.80 and 17,517.20

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Solution

The fourth proportional to 72,921.20, 109,381.80 and 17,517.20 is: 26,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,921.20 : 109,381.80 = 17,517.20 : x
  2. Step 2: Convert to fraction form
    72,921.20/109,381.80 = 17,517.20/x
  3. Step 3: Cross multiply
    72,921.20x = 109,381.80 × 17,517.20
  4. Step 4: Simplify right side
    72,921.20x = 1,916,062,320.05
  5. Step 5: Solve for x
    x = 1,916,062,320.05/72,921.20
  6. Step 6: Final answer
    x = 26,275.79

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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.