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Finding the Fourth Proportional to 73,909, 110,864.46 and 24,661

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Solution

The fourth proportional to 73,909, 110,864.46 and 24,661 is: 36,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,909 : 110,864.46 = 24,661 : x
  2. Step 2: Convert to fraction form
    73,909/110,864.46 = 24,661/x
  3. Step 3: Cross multiply
    73,909x = 110,864.46 × 24,661
  4. Step 4: Simplify right side
    73,909x = 2,734,028,448.06
  5. Step 5: Solve for x
    x = 2,734,028,448.06/73,909
  6. Step 6: Final answer
    x = 36,991.82

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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.