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Finding the Fourth Proportional to 72,047.92, 108,072.24 and 22,127.44

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Solution

The fourth proportional to 72,047.92, 108,072.24 and 22,127.44 is: 33,191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,047.92 : 108,072.24 = 22,127.44 : x
  2. Step 2: Convert to fraction form
    72,047.92/108,072.24 = 22,127.44/x
  3. Step 3: Cross multiply
    72,047.92x = 108,072.24 × 22,127.44
  4. Step 4: Simplify right side
    72,047.92x = 2,391,362,006.27
  5. Step 5: Solve for x
    x = 2,391,362,006.27/72,047.92
  6. Step 6: Final answer
    x = 33,191.27

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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.