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Finding the Fourth Proportional to 73,151.30, 109,715.76 and 23,224.94

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Solution

The fourth proportional to 73,151.30, 109,715.76 and 23,224.94 is: 34,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,151.30 : 109,715.76 = 23,224.94 : x
  2. Step 2: Convert to fraction form
    73,151.30/109,715.76 = 23,224.94/x
  3. Step 3: Cross multiply
    73,151.30x = 109,715.76 × 23,224.94
  4. Step 4: Simplify right side
    73,151.30x = 2,548,141,943.05
  5. Step 5: Solve for x
    x = 2,548,141,943.05/73,151.30
  6. Step 6: Final answer
    x = 34,833.86

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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.