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Finding the Fourth Proportional to 65,233.57, 90,022.32 and 36,939.25

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Solution

The fourth proportional to 65,233.57, 90,022.32 and 36,939.25 is: 50,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.57 : 90,022.32 = 36,939.25 : x
  2. Step 2: Convert to fraction form
    65,233.57/90,022.32 = 36,939.25/x
  3. Step 3: Cross multiply
    65,233.57x = 90,022.32 × 36,939.25
  4. Step 4: Simplify right side
    65,233.57x = 3,325,356,984.06
  5. Step 5: Solve for x
    x = 3,325,356,984.06/65,233.57
  6. Step 6: Final answer
    x = 50,976.16

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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.