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Finding the Fourth Proportional to 50,308.65, 69,422.58 and 27,647.15

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Solution

The fourth proportional to 50,308.65, 69,422.58 and 27,647.15 is: 38,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,308.65 : 69,422.58 = 27,647.15 : x
  2. Step 2: Convert to fraction form
    50,308.65/69,422.58 = 27,647.15/x
  3. Step 3: Cross multiply
    50,308.65x = 69,422.58 × 27,647.15
  4. Step 4: Simplify right side
    50,308.65x = 1,919,336,135.53
  5. Step 5: Solve for x
    x = 1,919,336,135.53/50,308.65
  6. Step 6: Final answer
    x = 38,151.22

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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.