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Finding the Fourth Proportional to 33,322.14, 49,983.21 and 8,698.14

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Solution

The fourth proportional to 33,322.14, 49,983.21 and 8,698.14 is: 13,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,322.14 : 49,983.21 = 8,698.14 : x
  2. Step 2: Convert to fraction form
    33,322.14/49,983.21 = 8,698.14/x
  3. Step 3: Cross multiply
    33,322.14x = 49,983.21 × 8,698.14
  4. Step 4: Simplify right side
    33,322.14x = 434,760,958.23
  5. Step 5: Solve for x
    x = 434,760,958.23/33,322.14
  6. Step 6: Final answer
    x = 13,047.21

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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.