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Finding the Fourth Proportional to 32,195, 48,287.31 and 8,815.97

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Solution

The fourth proportional to 32,195, 48,287.31 and 8,815.97 is: 13,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,195 : 48,287.31 = 8,815.97 : x
  2. Step 2: Convert to fraction form
    32,195/48,287.31 = 8,815.97/x
  3. Step 3: Cross multiply
    32,195x = 48,287.31 × 8,815.97
  4. Step 4: Simplify right side
    32,195x = 425,699,476.34
  5. Step 5: Solve for x
    x = 425,699,476.34/32,195
  6. Step 6: Final answer
    x = 13,222.53

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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.