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Finding the Fourth Proportional to 41,782.24, 57,662.04 and 27,610.48

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Solution

The fourth proportional to 41,782.24, 57,662.04 and 27,610.48 is: 38,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,782.24 : 57,662.04 = 27,610.48 : x
  2. Step 2: Convert to fraction form
    41,782.24/57,662.04 = 27,610.48/x
  3. Step 3: Cross multiply
    41,782.24x = 57,662.04 × 27,610.48
  4. Step 4: Simplify right side
    41,782.24x = 1,592,076,602.18
  5. Step 5: Solve for x
    x = 1,592,076,602.18/41,782.24
  6. Step 6: Final answer
    x = 38,104.15

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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.