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Finding the Fourth Proportional to 49,130.46, 67,791.87 and 27,901.98

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Solution

The fourth proportional to 49,130.46, 67,791.87 and 27,901.98 is: 38,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,130.46 : 67,791.87 = 27,901.98 : x
  2. Step 2: Convert to fraction form
    49,130.46/67,791.87 = 27,901.98/x
  3. Step 3: Cross multiply
    49,130.46x = 67,791.87 × 27,901.98
  4. Step 4: Simplify right side
    49,130.46x = 1,891,527,400.90
  5. Step 5: Solve for x
    x = 1,891,527,400.90/49,130.46
  6. Step 6: Final answer
    x = 38,500.10

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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.