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Finding the Fourth Proportional to 50,523.63, 69,721.35 and 27,861.90

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Solution

The fourth proportional to 50,523.63, 69,721.35 and 27,861.90 is: 38,448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,523.63 : 69,721.35 = 27,861.90 : x
  2. Step 2: Convert to fraction form
    50,523.63/69,721.35 = 27,861.90/x
  3. Step 3: Cross multiply
    50,523.63x = 69,721.35 × 27,861.90
  4. Step 4: Simplify right side
    50,523.63x = 1,942,569,281.57
  5. Step 5: Solve for x
    x = 1,942,569,281.57/50,523.63
  6. Step 6: Final answer
    x = 38,448.73

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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.