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Finding the Fourth Proportional to 100,097.71, 150,042 and 33,483.06

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Solution

The fourth proportional to 100,097.71, 150,042 and 33,483.06 is: 50,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,097.71 : 150,042 = 33,483.06 : x
  2. Step 2: Convert to fraction form
    100,097.71/150,042 = 33,483.06/x
  3. Step 3: Cross multiply
    100,097.71x = 150,042 × 33,483.06
  4. Step 4: Simplify right side
    100,097.71x = 5,023,865,288.52
  5. Step 5: Solve for x
    x = 5,023,865,288.52/100,097.71
  6. Step 6: Final answer
    x = 50,189.61

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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.