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Finding the Fourth Proportional to 33,000, 49,507.68 and 11,112

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Solution

The fourth proportional to 33,000, 49,507.68 and 11,112 is: 16,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,000 : 49,507.68 = 11,112 : x
  2. Step 2: Convert to fraction form
    33,000/49,507.68 = 11,112/x
  3. Step 3: Cross multiply
    33,000x = 49,507.68 × 11,112
  4. Step 4: Simplify right side
    33,000x = 550,129,340.16
  5. Step 5: Solve for x
    x = 550,129,340.16/33,000
  6. Step 6: Final answer
    x = 16,670.59

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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.