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Finding the Fourth Proportional to 65,523, 90,422 and 37,230.24

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Solution

The fourth proportional to 65,523, 90,422 and 37,230.24 is: 51,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,523 : 90,422 = 37,230.24 : x
  2. Step 2: Convert to fraction form
    65,523/90,422 = 37,230.24/x
  3. Step 3: Cross multiply
    65,523x = 90,422 × 37,230.24
  4. Step 4: Simplify right side
    65,523x = 3,366,432,761.28
  5. Step 5: Solve for x
    x = 3,366,432,761.28/65,523
  6. Step 6: Final answer
    x = 51,377.88

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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.