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Finding the Fourth Proportional to 65,764.14, 90,760.08 and 40,270.38

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Solution

The fourth proportional to 65,764.14, 90,760.08 and 40,270.38 is: 55,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,764.14 : 90,760.08 = 40,270.38 : x
  2. Step 2: Convert to fraction form
    65,764.14/90,760.08 = 40,270.38/x
  3. Step 3: Cross multiply
    65,764.14x = 90,760.08 × 40,270.38
  4. Step 4: Simplify right side
    65,764.14x = 3,654,942,986.32
  5. Step 5: Solve for x
    x = 3,654,942,986.32/65,764.14
  6. Step 6: Final answer
    x = 55,576.53

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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.