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Finding the Fourth Proportional to 72,454.36, 108,694.08 and 24,418.36

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Solution

The fourth proportional to 72,454.36, 108,694.08 and 24,418.36 is: 36,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,454.36 : 108,694.08 = 24,418.36 : x
  2. Step 2: Convert to fraction form
    72,454.36/108,694.08 = 24,418.36/x
  3. Step 3: Cross multiply
    72,454.36x = 108,694.08 × 24,418.36
  4. Step 4: Simplify right side
    72,454.36x = 2,654,131,175.31
  5. Step 5: Solve for x
    x = 2,654,131,175.31/72,454.36
  6. Step 6: Final answer
    x = 36,631.77

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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.