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Finding the Fourth Proportional to 32,481.61, 48,716.92 and 9,102.67

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Solution

The fourth proportional to 32,481.61, 48,716.92 and 9,102.67 is: 13,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481.61 : 48,716.92 = 9,102.67 : x
  2. Step 2: Convert to fraction form
    32,481.61/48,716.92 = 9,102.67/x
  3. Step 3: Cross multiply
    32,481.61x = 48,716.92 × 9,102.67
  4. Step 4: Simplify right side
    32,481.61x = 443,454,046.18
  5. Step 5: Solve for x
    x = 443,454,046.18/32,481.61
  6. Step 6: Final answer
    x = 13,652.47

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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.