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Finding the Fourth Proportional to 38,383.92, 57,571.32 and 13,422.06

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Solution

The fourth proportional to 38,383.92, 57,571.32 and 13,422.06 is: 20,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,383.92 : 57,571.32 = 13,422.06 : x
  2. Step 2: Convert to fraction form
    38,383.92/57,571.32 = 13,422.06/x
  3. Step 3: Cross multiply
    38,383.92x = 57,571.32 × 13,422.06
  4. Step 4: Simplify right side
    38,383.92x = 772,725,711.32
  5. Step 5: Solve for x
    x = 772,725,711.32/38,383.92
  6. Step 6: Final answer
    x = 20,131.50

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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.