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Finding the Fourth Proportional to 67,239.74, 100,830.44 and 22,854.57

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Solution

The fourth proportional to 67,239.74, 100,830.44 and 22,854.57 is: 34,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,239.74 : 100,830.44 = 22,854.57 : x
  2. Step 2: Convert to fraction form
    67,239.74/100,830.44 = 22,854.57/x
  3. Step 3: Cross multiply
    67,239.74x = 100,830.44 × 22,854.57
  4. Step 4: Simplify right side
    67,239.74x = 2,304,436,349.11
  5. Step 5: Solve for x
    x = 2,304,436,349.11/67,239.74
  6. Step 6: Final answer
    x = 34,271.94

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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.