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Finding the Fourth Proportional to 82,179.34, 123,194.99 and 29,551.81

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Solution

The fourth proportional to 82,179.34, 123,194.99 and 29,551.81 is: 44,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,179.34 : 123,194.99 = 29,551.81 : x
  2. Step 2: Convert to fraction form
    82,179.34/123,194.99 = 29,551.81/x
  3. Step 3: Cross multiply
    82,179.34x = 123,194.99 × 29,551.81
  4. Step 4: Simplify right side
    82,179.34x = 3,640,634,937.43
  5. Step 5: Solve for x
    x = 3,640,634,937.43/82,179.34
  6. Step 6: Final answer
    x = 44,301.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.