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Finding the Fourth Proportional to 41,598.72, 57,431.67 and 27,076.77

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Solution

The fourth proportional to 41,598.72, 57,431.67 and 27,076.77 is: 37,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,598.72 : 57,431.67 = 27,076.77 : x
  2. Step 2: Convert to fraction form
    41,598.72/57,431.67 = 27,076.77/x
  3. Step 3: Cross multiply
    41,598.72x = 57,431.67 × 27,076.77
  4. Step 4: Simplify right side
    41,598.72x = 1,555,064,119.31
  5. Step 5: Solve for x
    x = 1,555,064,119.31/41,598.72
  6. Step 6: Final answer
    x = 37,382.50

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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.