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Finding the Fourth Proportional to 50,227.50, 69,317.19 and 27,871.50

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Solution

The fourth proportional to 50,227.50, 69,317.19 and 27,871.50 is: 38,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,227.50 : 69,317.19 = 27,871.50 : x
  2. Step 2: Convert to fraction form
    50,227.50/69,317.19 = 27,871.50/x
  3. Step 3: Cross multiply
    50,227.50x = 69,317.19 × 27,871.50
  4. Step 4: Simplify right side
    50,227.50x = 1,931,974,061.09
  5. Step 5: Solve for x
    x = 1,931,974,061.09/50,227.50
  6. Step 6: Final answer
    x = 38,464.47

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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.