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Finding the Fourth Proportional to 73,269.95, 109,919.19 and 31,149.54

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Solution

The fourth proportional to 73,269.95, 109,919.19 and 31,149.54 is: 46,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,269.95 : 109,919.19 = 31,149.54 : x
  2. Step 2: Convert to fraction form
    73,269.95/109,919.19 = 31,149.54/x
  3. Step 3: Cross multiply
    73,269.95x = 109,919.19 × 31,149.54
  4. Step 4: Simplify right side
    73,269.95x = 3,423,932,205.67
  5. Step 5: Solve for x
    x = 3,423,932,205.67/73,269.95
  6. Step 6: Final answer
    x = 46,730.38

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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.