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Finding the Fourth Proportional to 80,542.41, 120,813.71 and 30,610.77

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Solution

The fourth proportional to 80,542.41, 120,813.71 and 30,610.77 is: 45,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,542.41 : 120,813.71 = 30,610.77 : x
  2. Step 2: Convert to fraction form
    80,542.41/120,813.71 = 30,610.77/x
  3. Step 3: Cross multiply
    80,542.41x = 120,813.71 × 30,610.77
  4. Step 4: Simplify right side
    80,542.41x = 3,698,200,536.60
  5. Step 5: Solve for x
    x = 3,698,200,536.60/80,542.41
  6. Step 6: Final answer
    x = 45,916.19

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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.