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Finding the Fourth Proportional to 55,206.31, 82,809.49 and 17,766.38

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Solution

The fourth proportional to 55,206.31, 82,809.49 and 17,766.38 is: 26,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,206.31 : 82,809.49 = 17,766.38 : x
  2. Step 2: Convert to fraction form
    55,206.31/82,809.49 = 17,766.38/x
  3. Step 3: Cross multiply
    55,206.31x = 82,809.49 × 17,766.38
  4. Step 4: Simplify right side
    55,206.31x = 1,471,224,904.92
  5. Step 5: Solve for x
    x = 1,471,224,904.92/55,206.31
  6. Step 6: Final answer
    x = 26,649.58

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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.