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Finding the Fourth Proportional to 47,781.03, 65,945.43 and 27,650.13

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Solution

The fourth proportional to 47,781.03, 65,945.43 and 27,650.13 is: 38,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,781.03 : 65,945.43 = 27,650.13 : x
  2. Step 2: Convert to fraction form
    47,781.03/65,945.43 = 27,650.13/x
  3. Step 3: Cross multiply
    47,781.03x = 65,945.43 × 27,650.13
  4. Step 4: Simplify right side
    47,781.03x = 1,823,399,712.41
  5. Step 5: Solve for x
    x = 1,823,399,712.41/47,781.03
  6. Step 6: Final answer
    x = 38,161.58

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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.