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Finding the Fourth Proportional to 36,221, 54,336.57 and 34,229

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Solution

The fourth proportional to 36,221, 54,336.57 and 34,229 is: 51,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,221 : 54,336.57 = 34,229 : x
  2. Step 2: Convert to fraction form
    36,221/54,336.57 = 34,229/x
  3. Step 3: Cross multiply
    36,221x = 54,336.57 × 34,229
  4. Step 4: Simplify right side
    36,221x = 1,859,886,454.53
  5. Step 5: Solve for x
    x = 1,859,886,454.53/36,221
  6. Step 6: Final answer
    x = 51,348.29

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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.