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Finding the Fourth Proportional to 49,191.80, 67,884.36 and 27,971.06

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Solution

The fourth proportional to 49,191.80, 67,884.36 and 27,971.06 is: 38,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,191.80 : 67,884.36 = 27,971.06 : x
  2. Step 2: Convert to fraction form
    49,191.80/67,884.36 = 27,971.06/x
  3. Step 3: Cross multiply
    49,191.80x = 67,884.36 × 27,971.06
  4. Step 4: Simplify right side
    49,191.80x = 1,898,797,421.77
  5. Step 5: Solve for x
    x = 1,898,797,421.77/49,191.80
  6. Step 6: Final answer
    x = 38,599.88

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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.