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Finding the Fourth Proportional to 41,965.74, 57,913.11 and 23,103

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Solution

The fourth proportional to 41,965.74, 57,913.11 and 23,103 is: 31,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,965.74 : 57,913.11 = 23,103 : x
  2. Step 2: Convert to fraction form
    41,965.74/57,913.11 = 23,103/x
  3. Step 3: Cross multiply
    41,965.74x = 57,913.11 × 23,103
  4. Step 4: Simplify right side
    41,965.74x = 1,337,966,580.33
  5. Step 5: Solve for x
    x = 1,337,966,580.33/41,965.74
  6. Step 6: Final answer
    x = 31,882.35

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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.