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Finding the Fourth Proportional to 72,454.86, 108,694.83 and 24,418.86

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Solution

The fourth proportional to 72,454.86, 108,694.83 and 24,418.86 is: 36,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,454.86 : 108,694.83 = 24,418.86 : x
  2. Step 2: Convert to fraction form
    72,454.86/108,694.83 = 24,418.86/x
  3. Step 3: Cross multiply
    72,454.86x = 108,694.83 × 24,418.86
  4. Step 4: Simplify right side
    72,454.86x = 2,654,203,836.49
  5. Step 5: Solve for x
    x = 2,654,203,836.49/72,454.86
  6. Step 6: Final answer
    x = 36,632.52

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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.