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Finding the Fourth Proportional to 85,277.80, 127,843.76 and 32,725

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Solution

The fourth proportional to 85,277.80, 127,843.76 and 32,725 is: 49,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,277.80 : 127,843.76 = 32,725 : x
  2. Step 2: Convert to fraction form
    85,277.80/127,843.76 = 32,725/x
  3. Step 3: Cross multiply
    85,277.80x = 127,843.76 × 32,725
  4. Step 4: Simplify right side
    85,277.80x = 4,183,687,046
  5. Step 5: Solve for x
    x = 4,183,687,046/85,277.80
  6. Step 6: Final answer
    x = 49,059.51

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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.