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Finding the Fourth Proportional to 65,867.31, 90,949.30 and 60,829.70

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Solution

The fourth proportional to 65,867.31, 90,949.30 and 60,829.70 is: 83,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,867.31 : 90,949.30 = 60,829.70 : x
  2. Step 2: Convert to fraction form
    65,867.31/90,949.30 = 60,829.70/x
  3. Step 3: Cross multiply
    65,867.31x = 90,949.30 × 60,829.70
  4. Step 4: Simplify right side
    65,867.31x = 5,532,418,283.60
  5. Step 5: Solve for x
    x = 5,532,418,283.60/65,867.31
  6. Step 6: Final answer
    x = 83,993.38

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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.