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Finding the Fourth Proportional to 67,123.40, 100,705.07 and 27,682.88

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Solution

The fourth proportional to 67,123.40, 100,705.07 and 27,682.88 is: 41,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,123.40 : 100,705.07 = 27,682.88 : x
  2. Step 2: Convert to fraction form
    67,123.40/100,705.07 = 27,682.88/x
  3. Step 3: Cross multiply
    67,123.40x = 100,705.07 × 27,682.88
  4. Step 4: Simplify right side
    67,123.40x = 2,787,805,933.88
  5. Step 5: Solve for x
    x = 2,787,805,933.88/67,123.40
  6. Step 6: Final answer
    x = 41,532.55

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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.