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Finding the Fourth Proportional to 50,114.50, 69,158.15 and 27,758.50

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Solution

The fourth proportional to 50,114.50, 69,158.15 and 27,758.50 is: 38,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,114.50 : 69,158.15 = 27,758.50 : x
  2. Step 2: Convert to fraction form
    50,114.50/69,158.15 = 27,758.50/x
  3. Step 3: Cross multiply
    50,114.50x = 69,158.15 × 27,758.50
  4. Step 4: Simplify right side
    50,114.50x = 1,919,726,506.78
  5. Step 5: Solve for x
    x = 1,919,726,506.78/50,114.50
  6. Step 6: Final answer
    x = 38,306.81

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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.