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Finding the Fourth Proportional to 33,240.30, 49,862.74 and 9,546.02

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Solution

The fourth proportional to 33,240.30, 49,862.74 and 9,546.02 is: 14,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,240.30 : 49,862.74 = 9,546.02 : x
  2. Step 2: Convert to fraction form
    33,240.30/49,862.74 = 9,546.02/x
  3. Step 3: Cross multiply
    33,240.30x = 49,862.74 × 9,546.02
  4. Step 4: Simplify right side
    33,240.30x = 475,990,713.29
  5. Step 5: Solve for x
    x = 475,990,713.29/33,240.30
  6. Step 6: Final answer
    x = 14,319.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.