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Finding the Fourth Proportional to 72,147.84, 108,233.41 and 22,227.94

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Solution

The fourth proportional to 72,147.84, 108,233.41 and 22,227.94 is: 33,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,147.84 : 108,233.41 = 22,227.94 : x
  2. Step 2: Convert to fraction form
    72,147.84/108,233.41 = 22,227.94/x
  3. Step 3: Cross multiply
    72,147.84x = 108,233.41 × 22,227.94
  4. Step 4: Simplify right side
    72,147.84x = 2,405,805,743.48
  5. Step 5: Solve for x
    x = 2,405,805,743.48/72,147.84
  6. Step 6: Final answer
    x = 33,345.50

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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.