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Finding the Fourth Proportional to 45,446.10, 68,186.13 and 20,478.66

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Solution

The fourth proportional to 45,446.10, 68,186.13 and 20,478.66 is: 30,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,446.10 : 68,186.13 = 20,478.66 : x
  2. Step 2: Convert to fraction form
    45,446.10/68,186.13 = 20,478.66/x
  3. Step 3: Cross multiply
    45,446.10x = 68,186.13 × 20,478.66
  4. Step 4: Simplify right side
    45,446.10x = 1,396,360,572.99
  5. Step 5: Solve for x
    x = 1,396,360,572.99/45,446.10
  6. Step 6: Final answer
    x = 30,725.64

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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.