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Finding the Fourth Proportional to 48,816, 73,180.56 and 17,644.32

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Solution

The fourth proportional to 48,816, 73,180.56 and 17,644.32 is: 26,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,816 : 73,180.56 = 17,644.32 : x
  2. Step 2: Convert to fraction form
    48,816/73,180.56 = 17,644.32/x
  3. Step 3: Cross multiply
    48,816x = 73,180.56 × 17,644.32
  4. Step 4: Simplify right side
    48,816x = 1,291,221,218.42
  5. Step 5: Solve for x
    x = 1,291,221,218.42/48,816
  6. Step 6: Final answer
    x = 26,450.78

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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.