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Finding the Fourth Proportional to 90,212.50, 135,319.31 and 23,652.03

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Solution

The fourth proportional to 90,212.50, 135,319.31 and 23,652.03 is: 35,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,212.50 : 135,319.31 = 23,652.03 : x
  2. Step 2: Convert to fraction form
    90,212.50/135,319.31 = 23,652.03/x
  3. Step 3: Cross multiply
    90,212.50x = 135,319.31 × 23,652.03
  4. Step 4: Simplify right side
    90,212.50x = 3,200,576,379.70
  5. Step 5: Solve for x
    x = 3,200,576,379.70/90,212.50
  6. Step 6: Final answer
    x = 35,478.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.