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Finding the Fourth Proportional to 62,821.74, 94,195.70 and 25,383

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Solution

The fourth proportional to 62,821.74, 94,195.70 and 25,383 is: 38,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,821.74 : 94,195.70 = 25,383 : x
  2. Step 2: Convert to fraction form
    62,821.74/94,195.70 = 25,383/x
  3. Step 3: Cross multiply
    62,821.74x = 94,195.70 × 25,383
  4. Step 4: Simplify right side
    62,821.74x = 2,390,969,453.10
  5. Step 5: Solve for x
    x = 2,390,969,453.10/62,821.74
  6. Step 6: Final answer
    x = 38,059.59

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Why These Related Problems?

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