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Finding the Fourth Proportional to 83,539.68, 125,087.82 and 65,346.60

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Solution

The fourth proportional to 83,539.68, 125,087.82 and 65,346.60 is: 97,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,539.68 : 125,087.82 = 65,346.60 : x
  2. Step 2: Convert to fraction form
    83,539.68/125,087.82 = 65,346.60/x
  3. Step 3: Cross multiply
    83,539.68x = 125,087.82 × 65,346.60
  4. Step 4: Simplify right side
    83,539.68x = 8,174,063,738.41
  5. Step 5: Solve for x
    x = 8,174,063,738.41/83,539.68
  6. Step 6: Final answer
    x = 97,846.48

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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.