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Finding the Fourth Proportional to 55,165.92, 82,715.52 and 24,765.54

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Solution

The fourth proportional to 55,165.92, 82,715.52 and 24,765.54 is: 37,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,165.92 : 82,715.52 = 24,765.54 : x
  2. Step 2: Convert to fraction form
    55,165.92/82,715.52 = 24,765.54/x
  3. Step 3: Cross multiply
    55,165.92x = 82,715.52 × 24,765.54
  4. Step 4: Simplify right side
    55,165.92x = 2,048,494,519.18
  5. Step 5: Solve for x
    x = 2,048,494,519.18/55,165.92
  6. Step 6: Final answer
    x = 37,133.33

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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.