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Finding the Fourth Proportional to 49,763.84, 68,674.56 and 27,408

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Solution

The fourth proportional to 49,763.84, 68,674.56 and 27,408 is: 37,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,763.84 : 68,674.56 = 27,408 : x
  2. Step 2: Convert to fraction form
    49,763.84/68,674.56 = 27,408/x
  3. Step 3: Cross multiply
    49,763.84x = 68,674.56 × 27,408
  4. Step 4: Simplify right side
    49,763.84x = 1,882,232,340.48
  5. Step 5: Solve for x
    x = 1,882,232,340.48/49,763.84
  6. Step 6: Final answer
    x = 37,823.29

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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.