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Finding the Fourth Proportional to 41,391.79, 57,105.85 and 27,783.16

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Solution

The fourth proportional to 41,391.79, 57,105.85 and 27,783.16 is: 38,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,391.79 : 57,105.85 = 27,783.16 : x
  2. Step 2: Convert to fraction form
    41,391.79/57,105.85 = 27,783.16/x
  3. Step 3: Cross multiply
    41,391.79x = 57,105.85 × 27,783.16
  4. Step 4: Simplify right side
    41,391.79x = 1,586,580,967.49
  5. Step 5: Solve for x
    x = 1,586,580,967.49/41,391.79
  6. Step 6: Final answer
    x = 38,330.81

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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.