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Finding the Fourth Proportional to 35,971.72, 49,640.25 and 20,055.22

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Solution

The fourth proportional to 35,971.72, 49,640.25 and 20,055.22 is: 27,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,971.72 : 49,640.25 = 20,055.22 : x
  2. Step 2: Convert to fraction form
    35,971.72/49,640.25 = 20,055.22/x
  3. Step 3: Cross multiply
    35,971.72x = 49,640.25 × 20,055.22
  4. Step 4: Simplify right side
    35,971.72x = 995,546,134.61
  5. Step 5: Solve for x
    x = 995,546,134.61/35,971.72
  6. Step 6: Final answer
    x = 27,675.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.