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Finding the Fourth Proportional to 41,980.38, 57,930.30 and 23,117.46

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Solution

The fourth proportional to 41,980.38, 57,930.30 and 23,117.46 is: 31,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,980.38 : 57,930.30 = 23,117.46 : x
  2. Step 2: Convert to fraction form
    41,980.38/57,930.30 = 23,117.46/x
  3. Step 3: Cross multiply
    41,980.38x = 57,930.30 × 23,117.46
  4. Step 4: Simplify right side
    41,980.38x = 1,339,201,393.04
  5. Step 5: Solve for x
    x = 1,339,201,393.04/41,980.38
  6. Step 6: Final answer
    x = 31,900.65

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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.