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Finding the Fourth Proportional to 38,042.88, 57,077.80 and 16,981

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Solution

The fourth proportional to 38,042.88, 57,077.80 and 16,981 is: 25,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,042.88 : 57,077.80 = 16,981 : x
  2. Step 2: Convert to fraction form
    38,042.88/57,077.80 = 16,981/x
  3. Step 3: Cross multiply
    38,042.88x = 57,077.80 × 16,981
  4. Step 4: Simplify right side
    38,042.88x = 969,238,121.80
  5. Step 5: Solve for x
    x = 969,238,121.80/38,042.88
  6. Step 6: Final answer
    x = 25,477.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.