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Finding the Fourth Proportional to 90,409.50, 135,614.26 and 35,005.50

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Solution

The fourth proportional to 90,409.50, 135,614.26 and 35,005.50 is: 52,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,409.50 : 135,614.26 = 35,005.50 : x
  2. Step 2: Convert to fraction form
    90,409.50/135,614.26 = 35,005.50/x
  3. Step 3: Cross multiply
    90,409.50x = 135,614.26 × 35,005.50
  4. Step 4: Simplify right side
    90,409.50x = 4,747,244,978.43
  5. Step 5: Solve for x
    x = 4,747,244,978.43/90,409.50
  6. Step 6: Final answer
    x = 52,508.25

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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.