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Finding the Fourth Proportional to 38,291.34, 52,834.24 and 22,372.71

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Solution

The fourth proportional to 38,291.34, 52,834.24 and 22,372.71 is: 30,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,291.34 : 52,834.24 = 22,372.71 : x
  2. Step 2: Convert to fraction form
    38,291.34/52,834.24 = 22,372.71/x
  3. Step 3: Cross multiply
    38,291.34x = 52,834.24 × 22,372.71
  4. Step 4: Simplify right side
    38,291.34x = 1,182,045,256.62
  5. Step 5: Solve for x
    x = 1,182,045,256.62/38,291.34
  6. Step 6: Final answer
    x = 30,869.78

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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.