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Finding the Fourth Proportional to 33,192.82, 49,779.06 and 9,498.70

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Solution

The fourth proportional to 33,192.82, 49,779.06 and 9,498.70 is: 14,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,192.82 : 49,779.06 = 9,498.70 : x
  2. Step 2: Convert to fraction form
    33,192.82/49,779.06 = 9,498.70/x
  3. Step 3: Cross multiply
    33,192.82x = 49,779.06 × 9,498.70
  4. Step 4: Simplify right side
    33,192.82x = 472,836,357.22
  5. Step 5: Solve for x
    x = 472,836,357.22/33,192.82
  6. Step 6: Final answer
    x = 14,245.14

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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.