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Finding the Fourth Proportional to 49,207.32, 67,909.86 and 27,985.32

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Solution

The fourth proportional to 49,207.32, 67,909.86 and 27,985.32 is: 38,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,207.32 : 67,909.86 = 27,985.32 : x
  2. Step 2: Convert to fraction form
    49,207.32/67,909.86 = 27,985.32/x
  3. Step 3: Cross multiply
    49,207.32x = 67,909.86 × 27,985.32
  4. Step 4: Simplify right side
    49,207.32x = 1,900,479,163.26
  5. Step 5: Solve for x
    x = 1,900,479,163.26/49,207.32
  6. Step 6: Final answer
    x = 38,621.88

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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.