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Finding the Fourth Proportional to 81,438.81, 122,118.12 and 38,732.37

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Solution

The fourth proportional to 81,438.81, 122,118.12 and 38,732.37 is: 58,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,438.81 : 122,118.12 = 38,732.37 : x
  2. Step 2: Convert to fraction form
    81,438.81/122,118.12 = 38,732.37/x
  3. Step 3: Cross multiply
    81,438.81x = 122,118.12 × 38,732.37
  4. Step 4: Simplify right side
    81,438.81x = 4,729,924,207.54
  5. Step 5: Solve for x
    x = 4,729,924,207.54/81,438.81
  6. Step 6: Final answer
    x = 58,079.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.