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Finding the Fourth Proportional to 49,436.62, 74,154.31 and 11,997

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Solution

The fourth proportional to 49,436.62, 74,154.31 and 11,997 is: 17,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,436.62 : 74,154.31 = 11,997 : x
  2. Step 2: Convert to fraction form
    49,436.62/74,154.31 = 11,997/x
  3. Step 3: Cross multiply
    49,436.62x = 74,154.31 × 11,997
  4. Step 4: Simplify right side
    49,436.62x = 889,629,227.08
  5. Step 5: Solve for x
    x = 889,629,227.08/49,436.62
  6. Step 6: Final answer
    x = 17,995.35

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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.