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Finding the Fourth Proportional to 83,817.68, 125,809.14 and 61,568.60

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Solution

The fourth proportional to 83,817.68, 125,809.14 and 61,568.60 is: 92,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,817.68 : 125,809.14 = 61,568.60 : x
  2. Step 2: Convert to fraction form
    83,817.68/125,809.14 = 61,568.60/x
  3. Step 3: Cross multiply
    83,817.68x = 125,809.14 × 61,568.60
  4. Step 4: Simplify right side
    83,817.68x = 7,745,892,617.00
  5. Step 5: Solve for x
    x = 7,745,892,617.00/83,817.68
  6. Step 6: Final answer
    x = 92,413.59

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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.