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Finding the Fourth Proportional to 49,490.84, 68,281.30 and 27,978.51

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Solution

The fourth proportional to 49,490.84, 68,281.30 and 27,978.51 is: 38,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,490.84 : 68,281.30 = 27,978.51 : x
  2. Step 2: Convert to fraction form
    49,490.84/68,281.30 = 27,978.51/x
  3. Step 3: Cross multiply
    49,490.84x = 68,281.30 × 27,978.51
  4. Step 4: Simplify right side
    49,490.84x = 1,910,408,813.78
  5. Step 5: Solve for x
    x = 1,910,408,813.78/49,490.84
  6. Step 6: Final answer
    x = 38,601.26

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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.