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Finding the Fourth Proportional to 113,679.82, 170,472.81 and 38,806

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Solution

The fourth proportional to 113,679.82, 170,472.81 and 38,806 is: 58,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,679.82 : 170,472.81 = 38,806 : x
  2. Step 2: Convert to fraction form
    113,679.82/170,472.81 = 38,806/x
  3. Step 3: Cross multiply
    113,679.82x = 170,472.81 × 38,806
  4. Step 4: Simplify right side
    113,679.82x = 6,615,367,864.86
  5. Step 5: Solve for x
    x = 6,615,367,864.86/113,679.82
  6. Step 6: Final answer
    x = 58,192.98

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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.