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Finding the Fourth Proportional to 32,166.53, 48,251.68 and 12,445.19

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Solution

The fourth proportional to 32,166.53, 48,251.68 and 12,445.19 is: 18,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,166.53 : 48,251.68 = 12,445.19 : x
  2. Step 2: Convert to fraction form
    32,166.53/48,251.68 = 12,445.19/x
  3. Step 3: Cross multiply
    32,166.53x = 48,251.68 × 12,445.19
  4. Step 4: Simplify right side
    32,166.53x = 600,501,053.05
  5. Step 5: Solve for x
    x = 600,501,053.05/32,166.53
  6. Step 6: Final answer
    x = 18,668.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.