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Finding the Fourth Proportional to 35,675.70, 49,187.68 and 22,906.32

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Solution

The fourth proportional to 35,675.70, 49,187.68 and 22,906.32 is: 31,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675.70 : 49,187.68 = 22,906.32 : x
  2. Step 2: Convert to fraction form
    35,675.70/49,187.68 = 22,906.32/x
  3. Step 3: Cross multiply
    35,675.70x = 49,187.68 × 22,906.32
  4. Step 4: Simplify right side
    35,675.70x = 1,126,708,738.14
  5. Step 5: Solve for x
    x = 1,126,708,738.14/35,675.70
  6. Step 6: Final answer
    x = 31,581.97

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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.