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Finding the Fourth Proportional to 83,568.56, 115,325.14 and 47,759.90

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Solution

The fourth proportional to 83,568.56, 115,325.14 and 47,759.90 is: 65,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,568.56 : 115,325.14 = 47,759.90 : x
  2. Step 2: Convert to fraction form
    83,568.56/115,325.14 = 47,759.90/x
  3. Step 3: Cross multiply
    83,568.56x = 115,325.14 × 47,759.90
  4. Step 4: Simplify right side
    83,568.56x = 5,507,917,153.89
  5. Step 5: Solve for x
    x = 5,507,917,153.89/83,568.56
  6. Step 6: Final answer
    x = 65,908.96

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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.