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Finding the Fourth Proportional to 33,041, 49,551.78 and 9,661.88

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Solution

The fourth proportional to 33,041, 49,551.78 and 9,661.88 is: 14,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,041 : 49,551.78 = 9,661.88 : x
  2. Step 2: Convert to fraction form
    33,041/49,551.78 = 9,661.88/x
  3. Step 3: Cross multiply
    33,041x = 49,551.78 × 9,661.88
  4. Step 4: Simplify right side
    33,041x = 478,763,352.15
  5. Step 5: Solve for x
    x = 478,763,352.15/33,041
  6. Step 6: Final answer
    x = 14,489.98

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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.