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Finding the Fourth Proportional to 33,514.94, 50,274.75 and 10,143.14

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Solution

The fourth proportional to 33,514.94, 50,274.75 and 10,143.14 is: 15,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,514.94 : 50,274.75 = 10,143.14 : x
  2. Step 2: Convert to fraction form
    33,514.94/50,274.75 = 10,143.14/x
  3. Step 3: Cross multiply
    33,514.94x = 50,274.75 × 10,143.14
  4. Step 4: Simplify right side
    33,514.94x = 509,943,827.72
  5. Step 5: Solve for x
    x = 509,943,827.72/33,514.94
  6. Step 6: Final answer
    x = 15,215.42

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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.