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Finding the Fourth Proportional to 38,234.70, 52,758.02 and 22,098.91

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Solution

The fourth proportional to 38,234.70, 52,758.02 and 22,098.91 is: 30,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,234.70 : 52,758.02 = 22,098.91 : x
  2. Step 2: Convert to fraction form
    38,234.70/52,758.02 = 22,098.91/x
  3. Step 3: Cross multiply
    38,234.70x = 52,758.02 × 22,098.91
  4. Step 4: Simplify right side
    38,234.70x = 1,165,894,735.76
  5. Step 5: Solve for x
    x = 1,165,894,735.76/38,234.70
  6. Step 6: Final answer
    x = 30,493.11

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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.