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Finding the Fourth Proportional to 37,643.60, 51,951.24 and 20,882

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Solution

The fourth proportional to 37,643.60, 51,951.24 and 20,882 is: 28,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.60 : 51,951.24 = 20,882 : x
  2. Step 2: Convert to fraction form
    37,643.60/51,951.24 = 20,882/x
  3. Step 3: Cross multiply
    37,643.60x = 51,951.24 × 20,882
  4. Step 4: Simplify right side
    37,643.60x = 1,084,845,793.68
  5. Step 5: Solve for x
    x = 1,084,845,793.68/37,643.60
  6. Step 6: Final answer
    x = 28,818.86

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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.