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Finding the Fourth Proportional to 33,422.64, 50,143.80 and 10,052.64

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Solution

The fourth proportional to 33,422.64, 50,143.80 and 10,052.64 is: 15,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,422.64 : 50,143.80 = 10,052.64 : x
  2. Step 2: Convert to fraction form
    33,422.64/50,143.80 = 10,052.64/x
  3. Step 3: Cross multiply
    33,422.64x = 50,143.80 × 10,052.64
  4. Step 4: Simplify right side
    33,422.64x = 504,077,569.63
  5. Step 5: Solve for x
    x = 504,077,569.63/33,422.64
  6. Step 6: Final answer
    x = 15,081.92

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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.