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Finding the Fourth Proportional to 41,944, 57,882.72 and 23,080.72

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Solution

The fourth proportional to 41,944, 57,882.72 and 23,080.72 is: 31,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,944 : 57,882.72 = 23,080.72 : x
  2. Step 2: Convert to fraction form
    41,944/57,882.72 = 23,080.72/x
  3. Step 3: Cross multiply
    41,944x = 57,882.72 × 23,080.72
  4. Step 4: Simplify right side
    41,944x = 1,335,974,853.16
  5. Step 5: Solve for x
    x = 1,335,974,853.16/41,944
  6. Step 6: Final answer
    x = 31,851.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.