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Finding the Fourth Proportional to 50,767.82, 76,151.72 and 13,831.82

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Solution

The fourth proportional to 50,767.82, 76,151.72 and 13,831.82 is: 20,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,767.82 : 76,151.72 = 13,831.82 : x
  2. Step 2: Convert to fraction form
    50,767.82/76,151.72 = 13,831.82/x
  3. Step 3: Cross multiply
    50,767.82x = 76,151.72 × 13,831.82
  4. Step 4: Simplify right side
    50,767.82x = 1,053,316,883.73
  5. Step 5: Solve for x
    x = 1,053,316,883.73/50,767.82
  6. Step 6: Final answer
    x = 20,747.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.