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Finding the Fourth Proportional to 50,831.32, 70,146.22 and 28,169.84

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Solution

The fourth proportional to 50,831.32, 70,146.22 and 28,169.84 is: 38,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,831.32 : 70,146.22 = 28,169.84 : x
  2. Step 2: Convert to fraction form
    50,831.32/70,146.22 = 28,169.84/x
  3. Step 3: Cross multiply
    50,831.32x = 70,146.22 × 28,169.84
  4. Step 4: Simplify right side
    50,831.32x = 1,976,007,794.00
  5. Step 5: Solve for x
    x = 1,976,007,794.00/50,831.32
  6. Step 6: Final answer
    x = 38,873.82

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Why These Related Problems?

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