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Finding the Fourth Proportional to 101,509.38, 152,274.21 and 34,940.70

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Solution

The fourth proportional to 101,509.38, 152,274.21 and 34,940.70 is: 52,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,509.38 : 152,274.21 = 34,940.70 : x
  2. Step 2: Convert to fraction form
    101,509.38/152,274.21 = 34,940.70/x
  3. Step 3: Cross multiply
    101,509.38x = 152,274.21 × 34,940.70
  4. Step 4: Simplify right side
    101,509.38x = 5,320,567,489.35
  5. Step 5: Solve for x
    x = 5,320,567,489.35/101,509.38
  6. Step 6: Final answer
    x = 52,414.54

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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.