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Finding the Fourth Proportional to 51,889.38, 71,612.74 and 31,759.68

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Solution

The fourth proportional to 51,889.38, 71,612.74 and 31,759.68 is: 43,831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,889.38 : 71,612.74 = 31,759.68 : x
  2. Step 2: Convert to fraction form
    51,889.38/71,612.74 = 31,759.68/x
  3. Step 3: Cross multiply
    51,889.38x = 71,612.74 × 31,759.68
  4. Step 4: Simplify right side
    51,889.38x = 2,274,397,706.32
  5. Step 5: Solve for x
    x = 2,274,397,706.32/51,889.38
  6. Step 6: Final answer
    x = 43,831.66

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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.