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Finding the Fourth Proportional to 73,006.91, 109,523.87 and 23,099.57

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Solution

The fourth proportional to 73,006.91, 109,523.87 and 23,099.57 is: 34,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,006.91 : 109,523.87 = 23,099.57 : x
  2. Step 2: Convert to fraction form
    73,006.91/109,523.87 = 23,099.57/x
  3. Step 3: Cross multiply
    73,006.91x = 109,523.87 × 23,099.57
  4. Step 4: Simplify right side
    73,006.91x = 2,529,953,638.62
  5. Step 5: Solve for x
    x = 2,529,953,638.62/73,006.91
  6. Step 6: Final answer
    x = 34,653.62

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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.