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Finding the Fourth Proportional to 36,262, 54,398.76 and 16,540.40

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Solution

The fourth proportional to 36,262, 54,398.76 and 16,540.40 is: 24,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,262 : 54,398.76 = 16,540.40 : x
  2. Step 2: Convert to fraction form
    36,262/54,398.76 = 16,540.40/x
  3. Step 3: Cross multiply
    36,262x = 54,398.76 × 16,540.40
  4. Step 4: Simplify right side
    36,262x = 899,777,249.90
  5. Step 5: Solve for x
    x = 899,777,249.90/36,262
  6. Step 6: Final answer
    x = 24,813.23

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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.