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Finding the Fourth Proportional to 85,318.40, 127,976.40 and 38,571.20

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Solution

The fourth proportional to 85,318.40, 127,976.40 and 38,571.20 is: 57,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,318.40 : 127,976.40 = 38,571.20 : x
  2. Step 2: Convert to fraction form
    85,318.40/127,976.40 = 38,571.20/x
  3. Step 3: Cross multiply
    85,318.40x = 127,976.40 × 38,571.20
  4. Step 4: Simplify right side
    85,318.40x = 4,936,203,319.68
  5. Step 5: Solve for x
    x = 4,936,203,319.68/85,318.40
  6. Step 6: Final answer
    x = 57,856.26

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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.