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Finding the Fourth Proportional to 54,801.34, 82,202.01 and 23,216.38

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Solution

The fourth proportional to 54,801.34, 82,202.01 and 23,216.38 is: 34,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,801.34 : 82,202.01 = 23,216.38 : x
  2. Step 2: Convert to fraction form
    54,801.34/82,202.01 = 23,216.38/x
  3. Step 3: Cross multiply
    54,801.34x = 82,202.01 × 23,216.38
  4. Step 4: Simplify right side
    54,801.34x = 1,908,433,100.92
  5. Step 5: Solve for x
    x = 1,908,433,100.92/54,801.34
  6. Step 6: Final answer
    x = 34,824.57

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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.