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Finding the Fourth Proportional to 73,082, 100,853.26 and 39,548

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Solution

The fourth proportional to 73,082, 100,853.26 and 39,548 is: 54,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,082 : 100,853.26 = 39,548 : x
  2. Step 2: Convert to fraction form
    73,082/100,853.26 = 39,548/x
  3. Step 3: Cross multiply
    73,082x = 100,853.26 × 39,548
  4. Step 4: Simplify right side
    73,082x = 3,988,544,726.48
  5. Step 5: Solve for x
    x = 3,988,544,726.48/73,082
  6. Step 6: Final answer
    x = 54,576.29

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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.