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Finding the Fourth Proportional to 31,445.86, 43,414.68 and 21,640

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Solution

The fourth proportional to 31,445.86, 43,414.68 and 21,640 is: 29,876.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,445.86 : 43,414.68 = 21,640 : x
  2. Step 2: Convert to fraction form
    31,445.86/43,414.68 = 21,640/x
  3. Step 3: Cross multiply
    31,445.86x = 43,414.68 × 21,640
  4. Step 4: Simplify right side
    31,445.86x = 939,493,675.20
  5. Step 5: Solve for x
    x = 939,493,675.20/31,445.86
  6. Step 6: Final answer
    x = 29,876.55

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