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Finding the Fourth Proportional to 74,107.23, 111,172.44 and 24,175.78

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Solution

The fourth proportional to 74,107.23, 111,172.44 and 24,175.78 is: 36,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,107.23 : 111,172.44 = 24,175.78 : x
  2. Step 2: Convert to fraction form
    74,107.23/111,172.44 = 24,175.78/x
  3. Step 3: Cross multiply
    74,107.23x = 111,172.44 × 24,175.78
  4. Step 4: Simplify right side
    74,107.23x = 2,687,680,451.50
  5. Step 5: Solve for x
    x = 2,687,680,451.50/74,107.23
  6. Step 6: Final answer
    x = 36,267.45

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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.