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Finding the Fourth Proportional to 55,165.69, 82,748.72 and 15,185.22

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Solution

The fourth proportional to 55,165.69, 82,748.72 and 15,185.22 is: 22,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,165.69 : 82,748.72 = 15,185.22 : x
  2. Step 2: Convert to fraction form
    55,165.69/82,748.72 = 15,185.22/x
  3. Step 3: Cross multiply
    55,165.69x = 82,748.72 × 15,185.22
  4. Step 4: Simplify right side
    55,165.69x = 1,256,557,517.92
  5. Step 5: Solve for x
    x = 1,256,557,517.92/55,165.69
  6. Step 6: Final answer
    x = 22,777.88

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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.