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Finding the Fourth Proportional to 33,793, 50,689.70 and 9,169

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Solution

The fourth proportional to 33,793, 50,689.70 and 9,169 is: 13,753.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,793 : 50,689.70 = 9,169 : x
  2. Step 2: Convert to fraction form
    33,793/50,689.70 = 9,169/x
  3. Step 3: Cross multiply
    33,793x = 50,689.70 × 9,169
  4. Step 4: Simplify right side
    33,793x = 464,773,859.30
  5. Step 5: Solve for x
    x = 464,773,859.30/33,793
  6. Step 6: Final answer
    x = 13,753.55

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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.