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Finding the Fourth Proportional to 49,828.82, 74,778.75 and 27,659.93

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Solution

The fourth proportional to 49,828.82, 74,778.75 and 27,659.93 is: 41,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,828.82 : 74,778.75 = 27,659.93 : x
  2. Step 2: Convert to fraction form
    49,828.82/74,778.75 = 27,659.93/x
  3. Step 3: Cross multiply
    49,828.82x = 74,778.75 × 27,659.93
  4. Step 4: Simplify right side
    49,828.82x = 2,068,374,616.59
  5. Step 5: Solve for x
    x = 2,068,374,616.59/49,828.82
  6. Step 6: Final answer
    x = 41,509.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.