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Finding the Fourth Proportional to 33,342, 49,988.32 and 20,191.28

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Solution

The fourth proportional to 33,342, 49,988.32 and 20,191.28 is: 30,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,342 : 49,988.32 = 20,191.28 : x
  2. Step 2: Convert to fraction form
    33,342/49,988.32 = 20,191.28/x
  3. Step 3: Cross multiply
    33,342x = 49,988.32 × 20,191.28
  4. Step 4: Simplify right side
    33,342x = 1,009,328,165.85
  5. Step 5: Solve for x
    x = 1,009,328,165.85/33,342
  6. Step 6: Final answer
    x = 30,271.97

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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.