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Finding the Fourth Proportional to 41,935.24, 57,808.02 and 27,763.48

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Solution

The fourth proportional to 41,935.24, 57,808.02 and 27,763.48 is: 38,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,935.24 : 57,808.02 = 27,763.48 : x
  2. Step 2: Convert to fraction form
    41,935.24/57,808.02 = 27,763.48/x
  3. Step 3: Cross multiply
    41,935.24x = 57,808.02 × 27,763.48
  4. Step 4: Simplify right side
    41,935.24x = 1,604,951,807.11
  5. Step 5: Solve for x
    x = 1,604,951,807.11/41,935.24
  6. Step 6: Final answer
    x = 38,272.15

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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.