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Finding the Fourth Proportional to 65,305.65, 90,122.82 and 38,081.00

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Solution

The fourth proportional to 65,305.65, 90,122.82 and 38,081.00 is: 52,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,305.65 : 90,122.82 = 38,081.00 : x
  2. Step 2: Convert to fraction form
    65,305.65/90,122.82 = 38,081.00/x
  3. Step 3: Cross multiply
    65,305.65x = 90,122.82 × 38,081.00
  4. Step 4: Simplify right side
    65,305.65x = 3,431,967,190.92
  5. Step 5: Solve for x
    x = 3,431,967,190.92/65,305.65
  6. Step 6: Final answer
    x = 52,552.37

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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.