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Finding the Fourth Proportional to 33,040.40, 49,561 and 9,667.32

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Solution

The fourth proportional to 33,040.40, 49,561 and 9,667.32 is: 14,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,040.40 : 49,561 = 9,667.32 : x
  2. Step 2: Convert to fraction form
    33,040.40/49,561 = 9,667.32/x
  3. Step 3: Cross multiply
    33,040.40x = 49,561 × 9,667.32
  4. Step 4: Simplify right side
    33,040.40x = 479,122,046.52
  5. Step 5: Solve for x
    x = 479,122,046.52/33,040.40
  6. Step 6: Final answer
    x = 14,501.10

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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.