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Finding the Fourth Proportional to 65,201.64, 90,033.42 and 41,370.60

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Solution

The fourth proportional to 65,201.64, 90,033.42 and 41,370.60 is: 57,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.64 : 90,033.42 = 41,370.60 : x
  2. Step 2: Convert to fraction form
    65,201.64/90,033.42 = 41,370.60/x
  3. Step 3: Cross multiply
    65,201.64x = 90,033.42 × 41,370.60
  4. Step 4: Simplify right side
    65,201.64x = 3,724,736,605.45
  5. Step 5: Solve for x
    x = 3,724,736,605.45/65,201.64
  6. Step 6: Final answer
    x = 57,126.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.