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Finding the Fourth Proportional to 33,788, 50,682.18 and 9,164

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Solution

The fourth proportional to 33,788, 50,682.18 and 9,164 is: 13,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,788 : 50,682.18 = 9,164 : x
  2. Step 2: Convert to fraction form
    33,788/50,682.18 = 9,164/x
  3. Step 3: Cross multiply
    33,788x = 50,682.18 × 9,164
  4. Step 4: Simplify right side
    33,788x = 464,451,497.52
  5. Step 5: Solve for x
    x = 464,451,497.52/33,788
  6. Step 6: Final answer
    x = 13,746.05

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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.