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Finding the Fourth Proportional to 47,625.87, 71,442.69 and 23,921.22

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Solution

The fourth proportional to 47,625.87, 71,442.69 and 23,921.22 is: 35,883.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,625.87 : 71,442.69 = 23,921.22 : x
  2. Step 2: Convert to fraction form
    47,625.87/71,442.69 = 23,921.22/x
  3. Step 3: Cross multiply
    47,625.87x = 71,442.69 × 23,921.22
  4. Step 4: Simplify right side
    47,625.87x = 1,708,996,304.88
  5. Step 5: Solve for x
    x = 1,708,996,304.88/47,625.87
  6. Step 6: Final answer
    x = 35,883.79

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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.