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Finding the Fourth Proportional to 33,590.54, 50,385.82 and 10,217

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Solution

The fourth proportional to 33,590.54, 50,385.82 and 10,217 is: 15,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,590.54 : 50,385.82 = 10,217 : x
  2. Step 2: Convert to fraction form
    33,590.54/50,385.82 = 10,217/x
  3. Step 3: Cross multiply
    33,590.54x = 50,385.82 × 10,217
  4. Step 4: Simplify right side
    33,590.54x = 514,791,922.94
  5. Step 5: Solve for x
    x = 514,791,922.94/33,590.54
  6. Step 6: Final answer
    x = 15,325.50

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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.