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Finding the Fourth Proportional to 50,498.80, 69,689.22 and 27,837.65

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Solution

The fourth proportional to 50,498.80, 69,689.22 and 27,837.65 is: 38,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,498.80 : 69,689.22 = 27,837.65 : x
  2. Step 2: Convert to fraction form
    50,498.80/69,689.22 = 27,837.65/x
  3. Step 3: Cross multiply
    50,498.80x = 69,689.22 × 27,837.65
  4. Step 4: Simplify right side
    50,498.80x = 1,939,984,115.13
  5. Step 5: Solve for x
    x = 1,939,984,115.13/50,498.80
  6. Step 6: Final answer
    x = 38,416.44

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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.