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Finding the Fourth Proportional to 82,172.49, 123,207.47 and 37,742.22

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Solution

The fourth proportional to 82,172.49, 123,207.47 and 37,742.22 is: 56,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,172.49 : 123,207.47 = 37,742.22 : x
  2. Step 2: Convert to fraction form
    82,172.49/123,207.47 = 37,742.22/x
  3. Step 3: Cross multiply
    82,172.49x = 123,207.47 × 37,742.22
  4. Step 4: Simplify right side
    82,172.49x = 4,650,123,391.21
  5. Step 5: Solve for x
    x = 4,650,123,391.21/82,172.49
  6. Step 6: Final answer
    x = 56,589.79

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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.