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Finding the Fourth Proportional to 33,281.70, 49,944.02 and 21,434.24

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Solution

The fourth proportional to 33,281.70, 49,944.02 and 21,434.24 is: 32,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,281.70 : 49,944.02 = 21,434.24 : x
  2. Step 2: Convert to fraction form
    33,281.70/49,944.02 = 21,434.24/x
  3. Step 3: Cross multiply
    33,281.70x = 49,944.02 × 21,434.24
  4. Step 4: Simplify right side
    33,281.70x = 1,070,511,754.35
  5. Step 5: Solve for x
    x = 1,070,511,754.35/33,281.70
  6. Step 6: Final answer
    x = 32,165.18

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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.