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Finding the Fourth Proportional to 45,082, 62,213.16 and 25,210

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Solution

The fourth proportional to 45,082, 62,213.16 and 25,210 is: 34,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,082 : 62,213.16 = 25,210 : x
  2. Step 2: Convert to fraction form
    45,082/62,213.16 = 25,210/x
  3. Step 3: Cross multiply
    45,082x = 62,213.16 × 25,210
  4. Step 4: Simplify right side
    45,082x = 1,568,393,763.60
  5. Step 5: Solve for x
    x = 1,568,393,763.60/45,082
  6. Step 6: Final answer
    x = 34,789.80

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Why These Related Problems?

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