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Finding the Fourth Proportional to 33,585, 50,377.17 and 12,524.31

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Solution

The fourth proportional to 33,585, 50,377.17 and 12,524.31 is: 18,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,585 : 50,377.17 = 12,524.31 : x
  2. Step 2: Convert to fraction form
    33,585/50,377.17 = 12,524.31/x
  3. Step 3: Cross multiply
    33,585x = 50,377.17 × 12,524.31
  4. Step 4: Simplify right side
    33,585x = 630,939,294.00
  5. Step 5: Solve for x
    x = 630,939,294.00/33,585
  6. Step 6: Final answer
    x = 18,786.34

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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.