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Finding the Fourth Proportional to 71,078.91, 106,682.85 and 37,826.97

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Solution

The fourth proportional to 71,078.91, 106,682.85 and 37,826.97 is: 56,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,078.91 : 106,682.85 = 37,826.97 : x
  2. Step 2: Convert to fraction form
    71,078.91/106,682.85 = 37,826.97/x
  3. Step 3: Cross multiply
    71,078.91x = 106,682.85 × 37,826.97
  4. Step 4: Simplify right side
    71,078.91x = 4,035,488,966.46
  5. Step 5: Solve for x
    x = 4,035,488,966.46/71,078.91
  6. Step 6: Final answer
    x = 56,774.77

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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.