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Finding the Fourth Proportional to 33,083.40, 49,619.22 and 10,897.08

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Solution

The fourth proportional to 33,083.40, 49,619.22 and 10,897.08 is: 16,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,083.40 : 49,619.22 = 10,897.08 : x
  2. Step 2: Convert to fraction form
    33,083.40/49,619.22 = 10,897.08/x
  3. Step 3: Cross multiply
    33,083.40x = 49,619.22 × 10,897.08
  4. Step 4: Simplify right side
    33,083.40x = 540,704,609.88
  5. Step 5: Solve for x
    x = 540,704,609.88/33,083.40
  6. Step 6: Final answer
    x = 16,343.68

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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.