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Finding the Fourth Proportional to 49,043.98, 67,676.88 and 27,826.84

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Solution

The fourth proportional to 49,043.98, 67,676.88 and 27,826.84 is: 38,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,043.98 : 67,676.88 = 27,826.84 : x
  2. Step 2: Convert to fraction form
    49,043.98/67,676.88 = 27,826.84/x
  3. Step 3: Cross multiply
    49,043.98x = 67,676.88 × 27,826.84
  4. Step 4: Simplify right side
    49,043.98x = 1,883,233,711.46
  5. Step 5: Solve for x
    x = 1,883,233,711.46/49,043.98
  6. Step 6: Final answer
    x = 38,398.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.