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Finding the Fourth Proportional to 45,085, 62,217.32 and 25,213

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Solution

The fourth proportional to 45,085, 62,217.32 and 25,213 is: 34,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,085 : 62,217.32 = 25,213 : x
  2. Step 2: Convert to fraction form
    45,085/62,217.32 = 25,213/x
  3. Step 3: Cross multiply
    45,085x = 62,217.32 × 25,213
  4. Step 4: Simplify right side
    45,085x = 1,568,685,289.16
  5. Step 5: Solve for x
    x = 1,568,685,289.16/45,085
  6. Step 6: Final answer
    x = 34,793.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.