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Finding the Fourth Proportional to 49,390, 68,158.20 and 27,034

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Solution

The fourth proportional to 49,390, 68,158.20 and 27,034 is: 37,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,390 : 68,158.20 = 27,034 : x
  2. Step 2: Convert to fraction form
    49,390/68,158.20 = 27,034/x
  3. Step 3: Cross multiply
    49,390x = 68,158.20 × 27,034
  4. Step 4: Simplify right side
    49,390x = 1,842,588,778.80
  5. Step 5: Solve for x
    x = 1,842,588,778.80/49,390
  6. Step 6: Final answer
    x = 37,306.92

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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.