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Finding the Fourth Proportional to 52,082.41, 71,873.82 and 28,209.10

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Solution

The fourth proportional to 52,082.41, 71,873.82 and 28,209.10 is: 38,928.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,082.41 : 71,873.82 = 28,209.10 : x
  2. Step 2: Convert to fraction form
    52,082.41/71,873.82 = 28,209.10/x
  3. Step 3: Cross multiply
    52,082.41x = 71,873.82 × 28,209.10
  4. Step 4: Simplify right side
    52,082.41x = 2,027,495,775.76
  5. Step 5: Solve for x
    x = 2,027,495,775.76/52,082.41
  6. Step 6: Final answer
    x = 38,928.61

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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.