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Finding the Fourth Proportional to 71,118.91, 106,682.46 and 26,746.03

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Solution

The fourth proportional to 71,118.91, 106,682.46 and 26,746.03 is: 40,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,118.91 : 106,682.46 = 26,746.03 : x
  2. Step 2: Convert to fraction form
    71,118.91/106,682.46 = 26,746.03/x
  3. Step 3: Cross multiply
    71,118.91x = 106,682.46 × 26,746.03
  4. Step 4: Simplify right side
    71,118.91x = 2,853,332,275.63
  5. Step 5: Solve for x
    x = 2,853,332,275.63/71,118.91
  6. Step 6: Final answer
    x = 40,120.59

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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.