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Finding the Fourth Proportional to 73,222.83, 109,832.16 and 23,305.90

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Solution

The fourth proportional to 73,222.83, 109,832.16 and 23,305.90 is: 34,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,222.83 : 109,832.16 = 23,305.90 : x
  2. Step 2: Convert to fraction form
    73,222.83/109,832.16 = 23,305.90/x
  3. Step 3: Cross multiply
    73,222.83x = 109,832.16 × 23,305.90
  4. Step 4: Simplify right side
    73,222.83x = 2,559,737,337.74
  5. Step 5: Solve for x
    x = 2,559,737,337.74/73,222.83
  6. Step 6: Final answer
    x = 34,958.19

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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.