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Finding the Fourth Proportional to 33,464, 50,204.64 and 9,770.96

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Solution

The fourth proportional to 33,464, 50,204.64 and 9,770.96 is: 14,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,464 : 50,204.64 = 9,770.96 : x
  2. Step 2: Convert to fraction form
    33,464/50,204.64 = 9,770.96/x
  3. Step 3: Cross multiply
    33,464x = 50,204.64 × 9,770.96
  4. Step 4: Simplify right side
    33,464x = 490,547,529.25
  5. Step 5: Solve for x
    x = 490,547,529.25/33,464
  6. Step 6: Final answer
    x = 14,658.96

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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.