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Finding the Fourth Proportional to 33,498, 50,262.35 and 14,528.44

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Solution

The fourth proportional to 33,498, 50,262.35 and 14,528.44 is: 21,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,498 : 50,262.35 = 14,528.44 : x
  2. Step 2: Convert to fraction form
    33,498/50,262.35 = 14,528.44/x
  3. Step 3: Cross multiply
    33,498x = 50,262.35 × 14,528.44
  4. Step 4: Simplify right side
    33,498x = 730,233,526.42
  5. Step 5: Solve for x
    x = 730,233,526.42/33,498
  6. Step 6: Final answer
    x = 21,799.32

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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.