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Finding the Fourth Proportional to 73,033.89, 109,582.11 and 23,118.05

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Solution

The fourth proportional to 73,033.89, 109,582.11 and 23,118.05 is: 34,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,033.89 : 109,582.11 = 23,118.05 : x
  2. Step 2: Convert to fraction form
    73,033.89/109,582.11 = 23,118.05/x
  3. Step 3: Cross multiply
    73,033.89x = 109,582.11 × 23,118.05
  4. Step 4: Simplify right side
    73,033.89x = 2,533,324,150.17
  5. Step 5: Solve for x
    x = 2,533,324,150.17/73,033.89
  6. Step 6: Final answer
    x = 34,686.97

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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.