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Finding the Fourth Proportional to 38,022.38, 52,472.88 and 22,919.84

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Solution

The fourth proportional to 38,022.38, 52,472.88 and 22,919.84 is: 31,630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,022.38 : 52,472.88 = 22,919.84 : x
  2. Step 2: Convert to fraction form
    38,022.38/52,472.88 = 22,919.84/x
  3. Step 3: Cross multiply
    38,022.38x = 52,472.88 × 22,919.84
  4. Step 4: Simplify right side
    38,022.38x = 1,202,670,013.94
  5. Step 5: Solve for x
    x = 1,202,670,013.94/38,022.38
  6. Step 6: Final answer
    x = 31,630.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.