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Finding the Fourth Proportional to 52,043.70, 71,820.15 and 28,170.31

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Solution

The fourth proportional to 52,043.70, 71,820.15 and 28,170.31 is: 38,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,043.70 : 71,820.15 = 28,170.31 : x
  2. Step 2: Convert to fraction form
    52,043.70/71,820.15 = 28,170.31/x
  3. Step 3: Cross multiply
    52,043.70x = 71,820.15 × 28,170.31
  4. Step 4: Simplify right side
    52,043.70x = 2,023,195,889.75
  5. Step 5: Solve for x
    x = 2,023,195,889.75/52,043.70
  6. Step 6: Final answer
    x = 38,874.94

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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.