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Finding the Fourth Proportional to 49,271.27, 67,988.85 and 27,761.99

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Solution

The fourth proportional to 49,271.27, 67,988.85 and 27,761.99 is: 38,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,271.27 : 67,988.85 = 27,761.99 : x
  2. Step 2: Convert to fraction form
    49,271.27/67,988.85 = 27,761.99/x
  3. Step 3: Cross multiply
    49,271.27x = 67,988.85 × 27,761.99
  4. Step 4: Simplify right side
    49,271.27x = 1,887,505,773.81
  5. Step 5: Solve for x
    x = 1,887,505,773.81/49,271.27
  6. Step 6: Final answer
    x = 38,308.45

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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.