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Finding the Fourth Proportional to 71,752.56, 107,629.24 and 25,005.20

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Solution

The fourth proportional to 71,752.56, 107,629.24 and 25,005.20 is: 37,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,752.56 : 107,629.24 = 25,005.20 : x
  2. Step 2: Convert to fraction form
    71,752.56/107,629.24 = 25,005.20/x
  3. Step 3: Cross multiply
    71,752.56x = 107,629.24 × 25,005.20
  4. Step 4: Simplify right side
    71,752.56x = 2,691,290,672.05
  5. Step 5: Solve for x
    x = 2,691,290,672.05/71,752.56
  6. Step 6: Final answer
    x = 37,507.94

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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.