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Finding the Fourth Proportional to 50,500.16, 69,691.08 and 27,838.99

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Solution

The fourth proportional to 50,500.16, 69,691.08 and 27,838.99 is: 38,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,500.16 : 69,691.08 = 27,838.99 : x
  2. Step 2: Convert to fraction form
    50,500.16/69,691.08 = 27,838.99/x
  3. Step 3: Cross multiply
    50,500.16x = 69,691.08 × 27,838.99
  4. Step 4: Simplify right side
    50,500.16x = 1,940,129,470.72
  5. Step 5: Solve for x
    x = 1,940,129,470.72/50,500.16
  6. Step 6: Final answer
    x = 38,418.28

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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.