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Finding the Fourth Proportional to 100,211.84, 150,393.92 and 37,091.68

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Solution

The fourth proportional to 100,211.84, 150,393.92 and 37,091.68 is: 55,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,211.84 : 150,393.92 = 37,091.68 : x
  2. Step 2: Convert to fraction form
    100,211.84/150,393.92 = 37,091.68/x
  3. Step 3: Cross multiply
    100,211.84x = 150,393.92 × 37,091.68
  4. Step 4: Simplify right side
    100,211.84x = 5,578,363,154.59
  5. Step 5: Solve for x
    x = 5,578,363,154.59/100,211.84
  6. Step 6: Final answer
    x = 55,665.71

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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.