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Finding the Fourth Proportional to 32,452.80, 48,679.12 and 7,828.80

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Solution

The fourth proportional to 32,452.80, 48,679.12 and 7,828.80 is: 11,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,452.80 : 48,679.12 = 7,828.80 : x
  2. Step 2: Convert to fraction form
    32,452.80/48,679.12 = 7,828.80/x
  3. Step 3: Cross multiply
    32,452.80x = 48,679.12 × 7,828.80
  4. Step 4: Simplify right side
    32,452.80x = 381,099,094.66
  5. Step 5: Solve for x
    x = 381,099,094.66/32,452.80
  6. Step 6: Final answer
    x = 11,743.18

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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.