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Finding the Fourth Proportional to 42,178.46, 58,183.65 and 27,824.09

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Solution

The fourth proportional to 42,178.46, 58,183.65 and 27,824.09 is: 38,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,178.46 : 58,183.65 = 27,824.09 : x
  2. Step 2: Convert to fraction form
    42,178.46/58,183.65 = 27,824.09/x
  3. Step 3: Cross multiply
    42,178.46x = 58,183.65 × 27,824.09
  4. Step 4: Simplify right side
    42,178.46x = 1,618,906,823.21
  5. Step 5: Solve for x
    x = 1,618,906,823.21/42,178.46
  6. Step 6: Final answer
    x = 38,382.32

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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.