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Finding the Fourth Proportional to 65,942.74, 91,000.65 and 35,727.85

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Solution

The fourth proportional to 65,942.74, 91,000.65 and 35,727.85 is: 49,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,942.74 : 91,000.65 = 35,727.85 : x
  2. Step 2: Convert to fraction form
    65,942.74/91,000.65 = 35,727.85/x
  3. Step 3: Cross multiply
    65,942.74x = 91,000.65 × 35,727.85
  4. Step 4: Simplify right side
    65,942.74x = 3,251,257,573.10
  5. Step 5: Solve for x
    x = 3,251,257,573.10/65,942.74
  6. Step 6: Final answer
    x = 49,304.25

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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.