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Finding the Fourth Proportional to 80,498.26, 111,049 and 56,638.09

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Solution

The fourth proportional to 80,498.26, 111,049 and 56,638.09 is: 78,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,498.26 : 111,049 = 56,638.09 : x
  2. Step 2: Convert to fraction form
    80,498.26/111,049 = 56,638.09/x
  3. Step 3: Cross multiply
    80,498.26x = 111,049 × 56,638.09
  4. Step 4: Simplify right side
    80,498.26x = 6,289,603,256.41
  5. Step 5: Solve for x
    x = 6,289,603,256.41/80,498.26
  6. Step 6: Final answer
    x = 78,133.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.