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Finding the Fourth Proportional to 32,452.75, 48,679.17 and 7,828.75

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Solution

The fourth proportional to 32,452.75, 48,679.17 and 7,828.75 is: 11,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,452.75 : 48,679.17 = 7,828.75 : x
  2. Step 2: Convert to fraction form
    32,452.75/48,679.17 = 7,828.75/x
  3. Step 3: Cross multiply
    32,452.75x = 48,679.17 × 7,828.75
  4. Step 4: Simplify right side
    32,452.75x = 381,097,052.14
  5. Step 5: Solve for x
    x = 381,097,052.14/32,452.75
  6. Step 6: Final answer
    x = 11,743.14

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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.