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Finding the Fourth Proportional to 39,762.50, 54,872.25 and 22,996.58

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Solution

The fourth proportional to 39,762.50, 54,872.25 and 22,996.58 is: 31,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,762.50 : 54,872.25 = 22,996.58 : x
  2. Step 2: Convert to fraction form
    39,762.50/54,872.25 = 22,996.58/x
  3. Step 3: Cross multiply
    39,762.50x = 54,872.25 × 22,996.58
  4. Step 4: Simplify right side
    39,762.50x = 1,261,874,086.91
  5. Step 5: Solve for x
    x = 1,261,874,086.91/39,762.50
  6. Step 6: Final answer
    x = 31,735.28

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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.