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Finding the Fourth Proportional to 33,990.84, 50,983.02 and 9,031.50

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Solution

The fourth proportional to 33,990.84, 50,983.02 and 9,031.50 is: 13,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,990.84 : 50,983.02 = 9,031.50 : x
  2. Step 2: Convert to fraction form
    33,990.84/50,983.02 = 9,031.50/x
  3. Step 3: Cross multiply
    33,990.84x = 50,983.02 × 9,031.50
  4. Step 4: Simplify right side
    33,990.84x = 460,453,145.13
  5. Step 5: Solve for x
    x = 460,453,145.13/33,990.84
  6. Step 6: Final answer
    x = 13,546.39

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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.