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Finding the Fourth Proportional to 49,147.44, 67,817.52 and 27,920.76

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Solution

The fourth proportional to 49,147.44, 67,817.52 and 27,920.76 is: 38,527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,147.44 : 67,817.52 = 27,920.76 : x
  2. Step 2: Convert to fraction form
    49,147.44/67,817.52 = 27,920.76/x
  3. Step 3: Cross multiply
    49,147.44x = 67,817.52 × 27,920.76
  4. Step 4: Simplify right side
    49,147.44x = 1,893,516,699.72
  5. Step 5: Solve for x
    x = 1,893,516,699.72/49,147.44
  6. Step 6: Final answer
    x = 38,527.27

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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.