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Finding the Fourth Proportional to 40,876.38, 56,414.45 and 22,971

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Solution

The fourth proportional to 40,876.38, 56,414.45 and 22,971 is: 31,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,876.38 : 56,414.45 = 22,971 : x
  2. Step 2: Convert to fraction form
    40,876.38/56,414.45 = 22,971/x
  3. Step 3: Cross multiply
    40,876.38x = 56,414.45 × 22,971
  4. Step 4: Simplify right side
    40,876.38x = 1,295,896,216.10
  5. Step 5: Solve for x
    x = 1,295,896,216.10/40,876.38
  6. Step 6: Final answer
    x = 31,702.81

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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.