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Finding the Fourth Proportional to 49,244.80, 73,878.89 and 15,964.89

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Solution

The fourth proportional to 49,244.80, 73,878.89 and 15,964.89 is: 23,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,244.80 : 73,878.89 = 15,964.89 : x
  2. Step 2: Convert to fraction form
    49,244.80/73,878.89 = 15,964.89/x
  3. Step 3: Cross multiply
    49,244.80x = 73,878.89 × 15,964.89
  4. Step 4: Simplify right side
    49,244.80x = 1,179,468,115.04
  5. Step 5: Solve for x
    x = 1,179,468,115.04/49,244.80
  6. Step 6: Final answer
    x = 23,951.12

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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.