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Finding the Fourth Proportional to 51,805.70, 71,491.97 and 30,586.33

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Solution

The fourth proportional to 51,805.70, 71,491.97 and 30,586.33 is: 42,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,805.70 : 71,491.97 = 30,586.33 : x
  2. Step 2: Convert to fraction form
    51,805.70/71,491.97 = 30,586.33/x
  3. Step 3: Cross multiply
    51,805.70x = 71,491.97 × 30,586.33
  4. Step 4: Simplify right side
    51,805.70x = 2,186,676,476.38
  5. Step 5: Solve for x
    x = 2,186,676,476.38/51,805.70
  6. Step 6: Final answer
    x = 42,209.19

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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.