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Finding the Fourth Proportional to 32,481.25, 48,721.88 and 7,857.25

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Solution

The fourth proportional to 32,481.25, 48,721.88 and 7,857.25 is: 11,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481.25 : 48,721.88 = 7,857.25 : x
  2. Step 2: Convert to fraction form
    32,481.25/48,721.88 = 7,857.25/x
  3. Step 3: Cross multiply
    32,481.25x = 48,721.88 × 7,857.25
  4. Step 4: Simplify right side
    32,481.25x = 382,819,952.34
  5. Step 5: Solve for x
    x = 382,819,952.34/32,481.25
  6. Step 6: Final answer
    x = 11,785.88

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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.