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Finding the Fourth Proportional to 84,051.54, 126,059.49 and 27,878.58

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Solution

The fourth proportional to 84,051.54, 126,059.49 and 27,878.58 is: 41,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,051.54 : 126,059.49 = 27,878.58 : x
  2. Step 2: Convert to fraction form
    84,051.54/126,059.49 = 27,878.58/x
  3. Step 3: Cross multiply
    84,051.54x = 126,059.49 × 27,878.58
  4. Step 4: Simplify right side
    84,051.54x = 3,514,359,576.72
  5. Step 5: Solve for x
    x = 3,514,359,576.72/84,051.54
  6. Step 6: Final answer
    x = 41,811.96

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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.