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Finding the Fourth Proportional to 135,020.44, 202,533.90 and 41,527

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Solution

The fourth proportional to 135,020.44, 202,533.90 and 41,527 is: 62,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,020.44 : 202,533.90 = 41,527 : x
  2. Step 2: Convert to fraction form
    135,020.44/202,533.90 = 41,527/x
  3. Step 3: Cross multiply
    135,020.44x = 202,533.90 × 41,527
  4. Step 4: Simplify right side
    135,020.44x = 8,410,625,265.30
  5. Step 5: Solve for x
    x = 8,410,625,265.30/135,020.44
  6. Step 6: Final answer
    x = 62,291.50

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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.