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Finding the Fourth Proportional to 32,481.12, 48,721.12 and 10,294.44

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Solution

The fourth proportional to 32,481.12, 48,721.12 and 10,294.44 is: 15,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481.12 : 48,721.12 = 10,294.44 : x
  2. Step 2: Convert to fraction form
    32,481.12/48,721.12 = 10,294.44/x
  3. Step 3: Cross multiply
    32,481.12x = 48,721.12 × 10,294.44
  4. Step 4: Simplify right side
    32,481.12x = 501,556,646.57
  5. Step 5: Solve for x
    x = 501,556,646.57/32,481.12
  6. Step 6: Final answer
    x = 15,441.48

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1.5x scale

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.