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Finding the Fourth Proportional to 75,872.71, 113,831.61 and 33,746.97

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Solution

The fourth proportional to 75,872.71, 113,831.61 and 33,746.97 is: 50,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,872.71 : 113,831.61 = 33,746.97 : x
  2. Step 2: Convert to fraction form
    75,872.71/113,831.61 = 33,746.97/x
  3. Step 3: Cross multiply
    75,872.71x = 113,831.61 × 33,746.97
  4. Step 4: Simplify right side
    75,872.71x = 3,841,471,927.72
  5. Step 5: Solve for x
    x = 3,841,471,927.72/75,872.71
  6. Step 6: Final answer
    x = 50,630.48

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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.