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Finding the Fourth Proportional to 62,767, 86,626.14 and 36,271

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Solution

The fourth proportional to 62,767, 86,626.14 and 36,271 is: 50,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,767 : 86,626.14 = 36,271 : x
  2. Step 2: Convert to fraction form
    62,767/86,626.14 = 36,271/x
  3. Step 3: Cross multiply
    62,767x = 86,626.14 × 36,271
  4. Step 4: Simplify right side
    62,767x = 3,142,016,723.94
  5. Step 5: Solve for x
    x = 3,142,016,723.94/62,767
  6. Step 6: Final answer
    x = 50,058.42

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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.