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Finding the Fourth Proportional to 49,765, 68,676.18 and 27,409.48

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Solution

The fourth proportional to 49,765, 68,676.18 and 27,409.48 is: 37,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,765 : 68,676.18 = 27,409.48 : x
  2. Step 2: Convert to fraction form
    49,765/68,676.18 = 27,409.48/x
  3. Step 3: Cross multiply
    49,765x = 68,676.18 × 27,409.48
  4. Step 4: Simplify right side
    49,765x = 1,882,378,382.19
  5. Step 5: Solve for x
    x = 1,882,378,382.19/49,765
  6. Step 6: Final answer
    x = 37,825.35

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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.