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Finding the Fourth Proportional to 49,265.32, 67,988.03 and 27,763.62

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Solution

The fourth proportional to 49,265.32, 67,988.03 and 27,763.62 is: 38,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,265.32 : 67,988.03 = 27,763.62 : x
  2. Step 2: Convert to fraction form
    49,265.32/67,988.03 = 27,763.62/x
  3. Step 3: Cross multiply
    49,265.32x = 67,988.03 × 27,763.62
  4. Step 4: Simplify right side
    49,265.32x = 1,887,593,829.47
  5. Step 5: Solve for x
    x = 1,887,593,829.47/49,265.32
  6. Step 6: Final answer
    x = 38,314.86

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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.