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Finding the Fourth Proportional to 67,138.50, 100,722.42 and 25,585.50

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Solution

The fourth proportional to 67,138.50, 100,722.42 and 25,585.50 is: 38,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,138.50 : 100,722.42 = 25,585.50 : x
  2. Step 2: Convert to fraction form
    67,138.50/100,722.42 = 25,585.50/x
  3. Step 3: Cross multiply
    67,138.50x = 100,722.42 × 25,585.50
  4. Step 4: Simplify right side
    67,138.50x = 2,577,033,476.91
  5. Step 5: Solve for x
    x = 2,577,033,476.91/67,138.50
  6. Step 6: Final answer
    x = 38,383.84

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