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Finding the Fourth Proportional to 35,756.46, 49,344.26 and 19,842.39

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Solution

The fourth proportional to 35,756.46, 49,344.26 and 19,842.39 is: 27,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,756.46 : 49,344.26 = 19,842.39 : x
  2. Step 2: Convert to fraction form
    35,756.46/49,344.26 = 19,842.39/x
  3. Step 3: Cross multiply
    35,756.46x = 49,344.26 × 19,842.39
  4. Step 4: Simplify right side
    35,756.46x = 979,107,951.97
  5. Step 5: Solve for x
    x = 979,107,951.97/35,756.46
  6. Step 6: Final answer
    x = 27,382.69

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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.