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Finding the Fourth Proportional to 39,500.78, 54,506.97 and 23,583.06

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Solution

The fourth proportional to 39,500.78, 54,506.97 and 23,583.06 is: 32,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,500.78 : 54,506.97 = 23,583.06 : x
  2. Step 2: Convert to fraction form
    39,500.78/54,506.97 = 23,583.06/x
  3. Step 3: Cross multiply
    39,500.78x = 54,506.97 × 23,583.06
  4. Step 4: Simplify right side
    39,500.78x = 1,285,441,143.93
  5. Step 5: Solve for x
    x = 1,285,441,143.93/39,500.78
  6. Step 6: Final answer
    x = 32,542.18

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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.