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Finding the Fourth Proportional to 52,074.46, 71,862.78 and 28,201.24

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Solution

The fourth proportional to 52,074.46, 71,862.78 and 28,201.24 is: 38,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,074.46 : 71,862.78 = 28,201.24 : x
  2. Step 2: Convert to fraction form
    52,074.46/71,862.78 = 28,201.24/x
  3. Step 3: Cross multiply
    52,074.46x = 71,862.78 × 28,201.24
  4. Step 4: Simplify right side
    52,074.46x = 2,026,619,505.85
  5. Step 5: Solve for x
    x = 2,026,619,505.85/52,074.46
  6. Step 6: Final answer
    x = 38,917.72

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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.