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Finding the Fourth Proportional to 71,902.28, 107,902.02 and 25,155.56

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Solution

The fourth proportional to 71,902.28, 107,902.02 and 25,155.56 is: 37,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,902.28 : 107,902.02 = 25,155.56 : x
  2. Step 2: Convert to fraction form
    71,902.28/107,902.02 = 25,155.56/x
  3. Step 3: Cross multiply
    71,902.28x = 107,902.02 × 25,155.56
  4. Step 4: Simplify right side
    71,902.28x = 2,714,335,738.23
  5. Step 5: Solve for x
    x = 2,714,335,738.23/71,902.28
  6. Step 6: Final answer
    x = 37,750.34

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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.