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Finding the Fourth Proportional to 61,367.36, 92,167.74 and 38,156

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Solution

The fourth proportional to 61,367.36, 92,167.74 and 38,156 is: 57,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,367.36 : 92,167.74 = 38,156 : x
  2. Step 2: Convert to fraction form
    61,367.36/92,167.74 = 38,156/x
  3. Step 3: Cross multiply
    61,367.36x = 92,167.74 × 38,156
  4. Step 4: Simplify right side
    61,367.36x = 3,516,752,287.44
  5. Step 5: Solve for x
    x = 3,516,752,287.44/61,367.36
  6. Step 6: Final answer
    x = 57,306.56

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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.