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Finding the Fourth Proportional to 50,534.57, 69,738.02 and 27,874.17

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Solution

The fourth proportional to 50,534.57, 69,738.02 and 27,874.17 is: 38,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,534.57 : 69,738.02 = 27,874.17 : x
  2. Step 2: Convert to fraction form
    50,534.57/69,738.02 = 27,874.17/x
  3. Step 3: Cross multiply
    50,534.57x = 69,738.02 × 27,874.17
  4. Step 4: Simplify right side
    50,534.57x = 1,943,889,424.94
  5. Step 5: Solve for x
    x = 1,943,889,424.94/50,534.57
  6. Step 6: Final answer
    x = 38,466.53

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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.