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Finding the Fourth Proportional to 83,660.44, 125,509.38 and 28,255

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Solution

The fourth proportional to 83,660.44, 125,509.38 and 28,255 is: 42,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,660.44 : 125,509.38 = 28,255 : x
  2. Step 2: Convert to fraction form
    83,660.44/125,509.38 = 28,255/x
  3. Step 3: Cross multiply
    83,660.44x = 125,509.38 × 28,255
  4. Step 4: Simplify right side
    83,660.44x = 3,546,267,531.90
  5. Step 5: Solve for x
    x = 3,546,267,531.90/83,660.44
  6. Step 6: Final answer
    x = 42,388.82

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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.