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Finding the Fourth Proportional to 32,198.67, 48,289.32 and 13,474.89

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Solution

The fourth proportional to 32,198.67, 48,289.32 and 13,474.89 is: 20,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.67 : 48,289.32 = 13,474.89 : x
  2. Step 2: Convert to fraction form
    32,198.67/48,289.32 = 13,474.89/x
  3. Step 3: Cross multiply
    32,198.67x = 48,289.32 × 13,474.89
  4. Step 4: Simplify right side
    32,198.67x = 650,693,275.17
  5. Step 5: Solve for x
    x = 650,693,275.17/32,198.67
  6. Step 6: Final answer
    x = 20,208.70

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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.