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Finding the Fourth Proportional to 52,105.92, 71,831.52 and 37,176

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Solution

The fourth proportional to 52,105.92, 71,831.52 and 37,176 is: 51,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,105.92 : 71,831.52 = 37,176 : x
  2. Step 2: Convert to fraction form
    52,105.92/71,831.52 = 37,176/x
  3. Step 3: Cross multiply
    52,105.92x = 71,831.52 × 37,176
  4. Step 4: Simplify right side
    52,105.92x = 2,670,408,587.52
  5. Step 5: Solve for x
    x = 2,670,408,587.52/52,105.92
  6. Step 6: Final answer
    x = 51,249.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.