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Finding the Fourth Proportional to 85,233.28, 127,851 and 32,645.92

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Solution

The fourth proportional to 85,233.28, 127,851 and 32,645.92 is: 48,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,233.28 : 127,851 = 32,645.92 : x
  2. Step 2: Convert to fraction form
    85,233.28/127,851 = 32,645.92/x
  3. Step 3: Cross multiply
    85,233.28x = 127,851 × 32,645.92
  4. Step 4: Simplify right side
    85,233.28x = 4,173,813,517.92
  5. Step 5: Solve for x
    x = 4,173,813,517.92/85,233.28
  6. Step 6: Final answer
    x = 48,969.29

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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.