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Finding the Fourth Proportional to 73,073.67, 109,623.83 and 23,166.33

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Solution

The fourth proportional to 73,073.67, 109,623.83 and 23,166.33 is: 34,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,073.67 : 109,623.83 = 23,166.33 : x
  2. Step 2: Convert to fraction form
    73,073.67/109,623.83 = 23,166.33/x
  3. Step 3: Cross multiply
    73,073.67x = 109,623.83 × 23,166.33
  4. Step 4: Simplify right side
    73,073.67x = 2,539,581,705.81
  5. Step 5: Solve for x
    x = 2,539,581,705.81/73,073.67
  6. Step 6: Final answer
    x = 34,753.72

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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.