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Finding the Fourth Proportional to 38,234.50, 52,764.22 and 21,467.14

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Solution

The fourth proportional to 38,234.50, 52,764.22 and 21,467.14 is: 29,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,234.50 : 52,764.22 = 21,467.14 : x
  2. Step 2: Convert to fraction form
    38,234.50/52,764.22 = 21,467.14/x
  3. Step 3: Cross multiply
    38,234.50x = 52,764.22 × 21,467.14
  4. Step 4: Simplify right side
    38,234.50x = 1,132,696,897.73
  5. Step 5: Solve for x
    x = 1,132,696,897.73/38,234.50
  6. Step 6: Final answer
    x = 29,625.00

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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.