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Finding the Fourth Proportional to 69,153.68, 103,704.42 and 22,394

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Solution

The fourth proportional to 69,153.68, 103,704.42 and 22,394 is: 33,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,153.68 : 103,704.42 = 22,394 : x
  2. Step 2: Convert to fraction form
    69,153.68/103,704.42 = 22,394/x
  3. Step 3: Cross multiply
    69,153.68x = 103,704.42 × 22,394
  4. Step 4: Simplify right side
    69,153.68x = 2,322,356,781.48
  5. Step 5: Solve for x
    x = 2,322,356,781.48/69,153.68
  6. Step 6: Final answer
    x = 33,582.55

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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.