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Finding the Fourth Proportional to 52,156.16, 71,974.60 and 29,494.38

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Solution

The fourth proportional to 52,156.16, 71,974.60 and 29,494.38 is: 40,701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,156.16 : 71,974.60 = 29,494.38 : x
  2. Step 2: Convert to fraction form
    52,156.16/71,974.60 = 29,494.38/x
  3. Step 3: Cross multiply
    52,156.16x = 71,974.60 × 29,494.38
  4. Step 4: Simplify right side
    52,156.16x = 2,122,846,202.75
  5. Step 5: Solve for x
    x = 2,122,846,202.75/52,156.16
  6. Step 6: Final answer
    x = 40,701.73

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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.