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Finding the Fourth Proportional to 100,394.38, 150,583.36 and 33,833.02

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Solution

The fourth proportional to 100,394.38, 150,583.36 and 33,833.02 is: 50,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,394.38 : 150,583.36 = 33,833.02 : x
  2. Step 2: Convert to fraction form
    100,394.38/150,583.36 = 33,833.02/x
  3. Step 3: Cross multiply
    100,394.38x = 150,583.36 × 33,833.02
  4. Step 4: Simplify right side
    100,394.38x = 5,094,689,830.55
  5. Step 5: Solve for x
    x = 5,094,689,830.55/100,394.38
  6. Step 6: Final answer
    x = 50,746.76

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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.