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Finding the Fourth Proportional to 75,934.82, 113,831.19 and 33,792.00

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Solution

The fourth proportional to 75,934.82, 113,831.19 and 33,792.00 is: 50,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,934.82 : 113,831.19 = 33,792.00 : x
  2. Step 2: Convert to fraction form
    75,934.82/113,831.19 = 33,792.00/x
  3. Step 3: Cross multiply
    75,934.82x = 113,831.19 × 33,792.00
  4. Step 4: Simplify right side
    75,934.82x = 3,846,583,785.91
  5. Step 5: Solve for x
    x = 3,846,583,785.91/75,934.82
  6. Step 6: Final answer
    x = 50,656.39

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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.