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Finding the Fourth Proportional to 38,393, 57,589.50 and 16,505

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Solution

The fourth proportional to 38,393, 57,589.50 and 16,505 is: 24,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,393 : 57,589.50 = 16,505 : x
  2. Step 2: Convert to fraction form
    38,393/57,589.50 = 16,505/x
  3. Step 3: Cross multiply
    38,393x = 57,589.50 × 16,505
  4. Step 4: Simplify right side
    38,393x = 950,514,697.50
  5. Step 5: Solve for x
    x = 950,514,697.50/38,393
  6. Step 6: Final answer
    x = 24,757.50

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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.