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Finding the Fourth Proportional to 41,978.12, 57,927.54 and 24,073.88

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Solution

The fourth proportional to 41,978.12, 57,927.54 and 24,073.88 is: 33,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,978.12 : 57,927.54 = 24,073.88 : x
  2. Step 2: Convert to fraction form
    41,978.12/57,927.54 = 24,073.88/x
  3. Step 3: Cross multiply
    41,978.12x = 57,927.54 × 24,073.88
  4. Step 4: Simplify right side
    41,978.12x = 1,394,540,646.66
  5. Step 5: Solve for x
    x = 1,394,540,646.66/41,978.12
  6. Step 6: Final answer
    x = 33,220.66

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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.