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Finding the Fourth Proportional to 34,084.38, 47,036.07 and 18,976.71

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Solution

The fourth proportional to 34,084.38, 47,036.07 and 18,976.71 is: 26,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,084.38 : 47,036.07 = 18,976.71 : x
  2. Step 2: Convert to fraction form
    34,084.38/47,036.07 = 18,976.71/x
  3. Step 3: Cross multiply
    34,084.38x = 47,036.07 × 18,976.71
  4. Step 4: Simplify right side
    34,084.38x = 892,589,859.93
  5. Step 5: Solve for x
    x = 892,589,859.93/34,084.38
  6. Step 6: Final answer
    x = 26,187.65

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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.