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Finding the Fourth Proportional to 94,937.88, 142,393.82 and 24,822.12

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Solution

The fourth proportional to 94,937.88, 142,393.82 and 24,822.12 is: 37,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,937.88 : 142,393.82 = 24,822.12 : x
  2. Step 2: Convert to fraction form
    94,937.88/142,393.82 = 24,822.12/x
  3. Step 3: Cross multiply
    94,937.88x = 142,393.82 × 24,822.12
  4. Step 4: Simplify right side
    94,937.88x = 3,534,516,487.30
  5. Step 5: Solve for x
    x = 3,534,516,487.30/94,937.88
  6. Step 6: Final answer
    x = 37,229.78

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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.