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Finding the Fourth Proportional to 36,280, 54,398.85 and 14,067.43

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Solution

The fourth proportional to 36,280, 54,398.85 and 14,067.43 is: 21,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,280 : 54,398.85 = 14,067.43 : x
  2. Step 2: Convert to fraction form
    36,280/54,398.85 = 14,067.43/x
  3. Step 3: Cross multiply
    36,280x = 54,398.85 × 14,067.43
  4. Step 4: Simplify right side
    36,280x = 765,252,014.46
  5. Step 5: Solve for x
    x = 765,252,014.46/36,280
  6. Step 6: Final answer
    x = 21,092.94

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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.