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Finding the Fourth Proportional to 71,584, 98,797.60 and 41,770.24

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Solution

The fourth proportional to 71,584, 98,797.60 and 41,770.24 is: 57,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,584 : 98,797.60 = 41,770.24 : x
  2. Step 2: Convert to fraction form
    71,584/98,797.60 = 41,770.24/x
  3. Step 3: Cross multiply
    71,584x = 98,797.60 × 41,770.24
  4. Step 4: Simplify right side
    71,584x = 4,126,799,463.42
  5. Step 5: Solve for x
    x = 4,126,799,463.42/71,584
  6. Step 6: Final answer
    x = 57,649.75

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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.