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Finding the Fourth Proportional to 39,206.69, 54,101.32 and 22,207.54

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Solution

The fourth proportional to 39,206.69, 54,101.32 and 22,207.54 is: 30,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,206.69 : 54,101.32 = 22,207.54 : x
  2. Step 2: Convert to fraction form
    39,206.69/54,101.32 = 22,207.54/x
  3. Step 3: Cross multiply
    39,206.69x = 54,101.32 × 22,207.54
  4. Step 4: Simplify right side
    39,206.69x = 1,201,457,227.95
  5. Step 5: Solve for x
    x = 1,201,457,227.95/39,206.69
  6. Step 6: Final answer
    x = 30,644.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.