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Finding the Fourth Proportional to 65,831.82, 98,747.73 and 36,234.42

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Solution

The fourth proportional to 65,831.82, 98,747.73 and 36,234.42 is: 54,351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,831.82 : 98,747.73 = 36,234.42 : x
  2. Step 2: Convert to fraction form
    65,831.82/98,747.73 = 36,234.42/x
  3. Step 3: Cross multiply
    65,831.82x = 98,747.73 × 36,234.42
  4. Step 4: Simplify right side
    65,831.82x = 3,578,066,722.87
  5. Step 5: Solve for x
    x = 3,578,066,722.87/65,831.82
  6. Step 6: Final answer
    x = 54,351.63

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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.