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Finding the Fourth Proportional to 55,546.80, 76,642.38 and 32,874.48

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Solution

The fourth proportional to 55,546.80, 76,642.38 and 32,874.48 is: 45,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,546.80 : 76,642.38 = 32,874.48 : x
  2. Step 2: Convert to fraction form
    55,546.80/76,642.38 = 32,874.48/x
  3. Step 3: Cross multiply
    55,546.80x = 76,642.38 × 32,874.48
  4. Step 4: Simplify right side
    55,546.80x = 2,519,578,388.46
  5. Step 5: Solve for x
    x = 2,519,578,388.46/55,546.80
  6. Step 6: Final answer
    x = 45,359.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.