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Finding the Fourth Proportional to 71,665.38, 98,872.65 and 49,270.50

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Solution

The fourth proportional to 71,665.38, 98,872.65 and 49,270.50 is: 67,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,665.38 : 98,872.65 = 49,270.50 : x
  2. Step 2: Convert to fraction form
    71,665.38/98,872.65 = 49,270.50/x
  3. Step 3: Cross multiply
    71,665.38x = 98,872.65 × 49,270.50
  4. Step 4: Simplify right side
    71,665.38x = 4,871,504,901.83
  5. Step 5: Solve for x
    x = 4,871,504,901.83/71,665.38
  6. Step 6: Final answer
    x = 67,975.71

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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.