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Finding the Fourth Proportional to 33,805, 50,722.08 and 13,043.08

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Solution

The fourth proportional to 33,805, 50,722.08 and 13,043.08 is: 19,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,805 : 50,722.08 = 13,043.08 : x
  2. Step 2: Convert to fraction form
    33,805/50,722.08 = 13,043.08/x
  3. Step 3: Cross multiply
    33,805x = 50,722.08 × 13,043.08
  4. Step 4: Simplify right side
    33,805x = 661,572,147.21
  5. Step 5: Solve for x
    x = 661,572,147.21/33,805
  6. Step 6: Final answer
    x = 19,570.25

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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.