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Finding the Fourth Proportional to 33,686.52, 50,537.16 and 10,314.78

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Solution

The fourth proportional to 33,686.52, 50,537.16 and 10,314.78 is: 15,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,686.52 : 50,537.16 = 10,314.78 : x
  2. Step 2: Convert to fraction form
    33,686.52/50,537.16 = 10,314.78/x
  3. Step 3: Cross multiply
    33,686.52x = 50,537.16 × 10,314.78
  4. Step 4: Simplify right side
    33,686.52x = 521,279,687.22
  5. Step 5: Solve for x
    x = 521,279,687.22/33,686.52
  6. Step 6: Final answer
    x = 15,474.43

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1.5x scale

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.