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Finding the Fourth Proportional to 41,833.86, 62,735.16 and 16,865.46

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Solution

The fourth proportional to 41,833.86, 62,735.16 and 16,865.46 is: 25,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,833.86 : 62,735.16 = 16,865.46 : x
  2. Step 2: Convert to fraction form
    41,833.86/62,735.16 = 16,865.46/x
  3. Step 3: Cross multiply
    41,833.86x = 62,735.16 × 16,865.46
  4. Step 4: Simplify right side
    41,833.86x = 1,058,057,331.57
  5. Step 5: Solve for x
    x = 1,058,057,331.57/41,833.86
  6. Step 6: Final answer
    x = 25,291.89

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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.