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Finding the Fourth Proportional to 72,226.93, 108,353.96 and 32,786.82

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Solution

The fourth proportional to 72,226.93, 108,353.96 and 32,786.82 is: 49,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,226.93 : 108,353.96 = 32,786.82 : x
  2. Step 2: Convert to fraction form
    72,226.93/108,353.96 = 32,786.82/x
  3. Step 3: Cross multiply
    72,226.93x = 108,353.96 × 32,786.82
  4. Step 4: Simplify right side
    72,226.93x = 3,552,581,782.81
  5. Step 5: Solve for x
    x = 3,552,581,782.81/72,226.93
  6. Step 6: Final answer
    x = 49,186.39

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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.