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Finding the Fourth Proportional to 72,224.62, 108,338.16 and 19,632.82

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Solution

The fourth proportional to 72,224.62, 108,338.16 and 19,632.82 is: 29,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,224.62 : 108,338.16 = 19,632.82 : x
  2. Step 2: Convert to fraction form
    72,224.62/108,338.16 = 19,632.82/x
  3. Step 3: Cross multiply
    72,224.62x = 108,338.16 × 19,632.82
  4. Step 4: Simplify right side
    72,224.62x = 2,126,983,594.41
  5. Step 5: Solve for x
    x = 2,126,983,594.41/72,224.62
  6. Step 6: Final answer
    x = 29,449.56

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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.