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Finding the Fourth Proportional to 71,081.91, 106,687.35 and 37,829.97

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Solution

The fourth proportional to 71,081.91, 106,687.35 and 37,829.97 is: 56,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,081.91 : 106,687.35 = 37,829.97 : x
  2. Step 2: Convert to fraction form
    71,081.91/106,687.35 = 37,829.97/x
  3. Step 3: Cross multiply
    71,081.91x = 106,687.35 × 37,829.97
  4. Step 4: Simplify right side
    71,081.91x = 4,035,979,249.88
  5. Step 5: Solve for x
    x = 4,035,979,249.88/71,081.91
  6. Step 6: Final answer
    x = 56,779.27

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Why These Related Problems?

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