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Finding the Fourth Proportional to 82,161.73, 123,259.20 and 34,776.73

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Solution

The fourth proportional to 82,161.73, 123,259.20 and 34,776.73 is: 52,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,161.73 : 123,259.20 = 34,776.73 : x
  2. Step 2: Convert to fraction form
    82,161.73/123,259.20 = 34,776.73/x
  3. Step 3: Cross multiply
    82,161.73x = 123,259.20 × 34,776.73
  4. Step 4: Simplify right side
    82,161.73x = 4,286,551,918.42
  5. Step 5: Solve for x
    x = 4,286,551,918.42/82,161.73
  6. Step 6: Final answer
    x = 52,172.12

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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.