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Finding the Fourth Proportional to 50,200.98, 69,278.85 and 27,844.50

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Solution

The fourth proportional to 50,200.98, 69,278.85 and 27,844.50 is: 38,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,200.98 : 69,278.85 = 27,844.50 : x
  2. Step 2: Convert to fraction form
    50,200.98/69,278.85 = 27,844.50/x
  3. Step 3: Cross multiply
    50,200.98x = 69,278.85 × 27,844.50
  4. Step 4: Simplify right side
    50,200.98x = 1,929,034,938.83
  5. Step 5: Solve for x
    x = 1,929,034,938.83/50,200.98
  6. Step 6: Final answer
    x = 38,426.24

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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.