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Finding the Fourth Proportional to 85,270.80, 127,833.26 and 32,718

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Solution

The fourth proportional to 85,270.80, 127,833.26 and 32,718 is: 49,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,270.80 : 127,833.26 = 32,718 : x
  2. Step 2: Convert to fraction form
    85,270.80/127,833.26 = 32,718/x
  3. Step 3: Cross multiply
    85,270.80x = 127,833.26 × 32,718
  4. Step 4: Simplify right side
    85,270.80x = 4,182,448,600.68
  5. Step 5: Solve for x
    x = 4,182,448,600.68/85,270.80
  6. Step 6: Final answer
    x = 49,049.01

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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.