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Finding the Fourth Proportional to 41,838.08, 57,735 and 22,974.08

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Solution

The fourth proportional to 41,838.08, 57,735 and 22,974.08 is: 31,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,838.08 : 57,735 = 22,974.08 : x
  2. Step 2: Convert to fraction form
    41,838.08/57,735 = 22,974.08/x
  3. Step 3: Cross multiply
    41,838.08x = 57,735 × 22,974.08
  4. Step 4: Simplify right side
    41,838.08x = 1,326,408,508.80
  5. Step 5: Solve for x
    x = 1,326,408,508.80/41,838.08
  6. Step 6: Final answer
    x = 31,703.38

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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.