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Finding the Fourth Proportional to 84,833.52, 127,200 and 32,246.48

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Solution

The fourth proportional to 84,833.52, 127,200 and 32,246.48 is: 48,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,833.52 : 127,200 = 32,246.48 : x
  2. Step 2: Convert to fraction form
    84,833.52/127,200 = 32,246.48/x
  3. Step 3: Cross multiply
    84,833.52x = 127,200 × 32,246.48
  4. Step 4: Simplify right side
    84,833.52x = 4,101,752,256
  5. Step 5: Solve for x
    x = 4,101,752,256/84,833.52
  6. Step 6: Final answer
    x = 48,350.61

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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.