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Finding the Fourth Proportional to 33,031.20, 49,546.80 and 21,221.40

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Solution

The fourth proportional to 33,031.20, 49,546.80 and 21,221.40 is: 31,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,031.20 : 49,546.80 = 21,221.40 : x
  2. Step 2: Convert to fraction form
    33,031.20/49,546.80 = 21,221.40/x
  3. Step 3: Cross multiply
    33,031.20x = 49,546.80 × 21,221.40
  4. Step 4: Simplify right side
    33,031.20x = 1,051,452,461.52
  5. Step 5: Solve for x
    x = 1,051,452,461.52/33,031.20
  6. Step 6: Final answer
    x = 31,832.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.