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Finding the Fourth Proportional to 41,348.75, 61,973.87 and 23,781.65

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Solution

The fourth proportional to 41,348.75, 61,973.87 and 23,781.65 is: 35,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,348.75 : 61,973.87 = 23,781.65 : x
  2. Step 2: Convert to fraction form
    41,348.75/61,973.87 = 23,781.65/x
  3. Step 3: Cross multiply
    41,348.75x = 61,973.87 × 23,781.65
  4. Step 4: Simplify right side
    41,348.75x = 1,473,840,456.71
  5. Step 5: Solve for x
    x = 1,473,840,456.71/41,348.75
  6. Step 6: Final answer
    x = 35,644.14

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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.