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Finding the Fourth Proportional to 32,517.78, 48,771.13 and 9,138.75

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Solution

The fourth proportional to 32,517.78, 48,771.13 and 9,138.75 is: 13,706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517.78 : 48,771.13 = 9,138.75 : x
  2. Step 2: Convert to fraction form
    32,517.78/48,771.13 = 9,138.75/x
  3. Step 3: Cross multiply
    32,517.78x = 48,771.13 × 9,138.75
  4. Step 4: Simplify right side
    32,517.78x = 445,707,164.29
  5. Step 5: Solve for x
    x = 445,707,164.29/32,517.78
  6. Step 6: Final answer
    x = 13,706.57

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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.