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Finding the Fourth Proportional to 41,992.84, 57,949.38 and 23,129.80

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Solution

The fourth proportional to 41,992.84, 57,949.38 and 23,129.80 is: 31,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,992.84 : 57,949.38 = 23,129.80 : x
  2. Step 2: Convert to fraction form
    41,992.84/57,949.38 = 23,129.80/x
  3. Step 3: Cross multiply
    41,992.84x = 57,949.38 × 23,129.80
  4. Step 4: Simplify right side
    41,992.84x = 1,340,357,569.52
  5. Step 5: Solve for x
    x = 1,340,357,569.52/41,992.84
  6. Step 6: Final answer
    x = 31,918.72

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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.