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Finding the Fourth Proportional to 49,203.50, 67,901.04 and 27,982.31

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Solution

The fourth proportional to 49,203.50, 67,901.04 and 27,982.31 is: 38,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,203.50 : 67,901.04 = 27,982.31 : x
  2. Step 2: Convert to fraction form
    49,203.50/67,901.04 = 27,982.31/x
  3. Step 3: Cross multiply
    49,203.50x = 67,901.04 × 27,982.31
  4. Step 4: Simplify right side
    49,203.50x = 1,900,027,611.10
  5. Step 5: Solve for x
    x = 1,900,027,611.10/49,203.50
  6. Step 6: Final answer
    x = 38,615.70

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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.