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Finding the Fourth Proportional to 41,892.93, 57,810.78 and 23,029.92

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Solution

The fourth proportional to 41,892.93, 57,810.78 and 23,029.92 is: 31,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,892.93 : 57,810.78 = 23,029.92 : x
  2. Step 2: Convert to fraction form
    41,892.93/57,810.78 = 23,029.92/x
  3. Step 3: Cross multiply
    41,892.93x = 57,810.78 × 23,029.92
  4. Step 4: Simplify right side
    41,892.93x = 1,331,377,638.54
  5. Step 5: Solve for x
    x = 1,331,377,638.54/41,892.93
  6. Step 6: Final answer
    x = 31,780.49

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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.