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Finding the Fourth Proportional to 33,001.16, 49,491.74 and 27,737.78

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Solution

The fourth proportional to 33,001.16, 49,491.74 and 27,737.78 is: 41,598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,001.16 : 49,491.74 = 27,737.78 : x
  2. Step 2: Convert to fraction form
    33,001.16/49,491.74 = 27,737.78/x
  3. Step 3: Cross multiply
    33,001.16x = 49,491.74 × 27,737.78
  4. Step 4: Simplify right side
    33,001.16x = 1,372,790,817.82
  5. Step 5: Solve for x
    x = 1,372,790,817.82/33,001.16
  6. Step 6: Final answer
    x = 41,598.27

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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.