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Finding the Fourth Proportional to 50,876, 70,209.84 and 29,656.52

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Solution

The fourth proportional to 50,876, 70,209.84 and 29,656.52 is: 40,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,876 : 70,209.84 = 29,656.52 : x
  2. Step 2: Convert to fraction form
    50,876/70,209.84 = 29,656.52/x
  3. Step 3: Cross multiply
    50,876x = 70,209.84 × 29,656.52
  4. Step 4: Simplify right side
    50,876x = 2,082,179,524.16
  5. Step 5: Solve for x
    x = 2,082,179,524.16/50,876
  6. Step 6: Final answer
    x = 40,926.56

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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.