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Finding the Fourth Proportional to 55,774.80, 83,642.22 and 20,227.14

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Solution

The fourth proportional to 55,774.80, 83,642.22 and 20,227.14 is: 30,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,774.80 : 83,642.22 = 20,227.14 : x
  2. Step 2: Convert to fraction form
    55,774.80/83,642.22 = 20,227.14/x
  3. Step 3: Cross multiply
    55,774.80x = 83,642.22 × 20,227.14
  4. Step 4: Simplify right side
    55,774.80x = 1,691,842,893.85
  5. Step 5: Solve for x
    x = 1,691,842,893.85/55,774.80
  6. Step 6: Final answer
    x = 30,333.46

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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.