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Finding the Fourth Proportional to 123,391.44, 185,073.12 and 34,652.16

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Solution

The fourth proportional to 123,391.44, 185,073.12 and 34,652.16 is: 51,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,391.44 : 185,073.12 = 34,652.16 : x
  2. Step 2: Convert to fraction form
    123,391.44/185,073.12 = 34,652.16/x
  3. Step 3: Cross multiply
    123,391.44x = 185,073.12 × 34,652.16
  4. Step 4: Simplify right side
    123,391.44x = 6,413,183,365.94
  5. Step 5: Solve for x
    x = 6,413,183,365.94/123,391.44
  6. Step 6: Final answer
    x = 51,974.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.