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Finding the Fourth Proportional to 67,844.70, 101,683.35 and 49,188.78

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Solution

The fourth proportional to 67,844.70, 101,683.35 and 49,188.78 is: 73,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,844.70 : 101,683.35 = 49,188.78 : x
  2. Step 2: Convert to fraction form
    67,844.70/101,683.35 = 49,188.78/x
  3. Step 3: Cross multiply
    67,844.70x = 101,683.35 × 49,188.78
  4. Step 4: Simplify right side
    67,844.70x = 5,001,679,932.81
  5. Step 5: Solve for x
    x = 5,001,679,932.81/67,844.70
  6. Step 6: Final answer
    x = 73,722.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.