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Finding the Fourth Proportional to 67,806.38, 93,570.27 and 37,996.46

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Solution

The fourth proportional to 67,806.38, 93,570.27 and 37,996.46 is: 52,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,806.38 : 93,570.27 = 37,996.46 : x
  2. Step 2: Convert to fraction form
    67,806.38/93,570.27 = 37,996.46/x
  3. Step 3: Cross multiply
    67,806.38x = 93,570.27 × 37,996.46
  4. Step 4: Simplify right side
    67,806.38x = 3,555,339,021.24
  5. Step 5: Solve for x
    x = 3,555,339,021.24/67,806.38
  6. Step 6: Final answer
    x = 52,433.69

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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.