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Finding the Fourth Proportional to 35,485.82, 48,971.13 and 22,932.44

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Solution

The fourth proportional to 35,485.82, 48,971.13 and 22,932.44 is: 31,647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,485.82 : 48,971.13 = 22,932.44 : x
  2. Step 2: Convert to fraction form
    35,485.82/48,971.13 = 22,932.44/x
  3. Step 3: Cross multiply
    35,485.82x = 48,971.13 × 22,932.44
  4. Step 4: Simplify right side
    35,485.82x = 1,123,027,500.46
  5. Step 5: Solve for x
    x = 1,123,027,500.46/35,485.82
  6. Step 6: Final answer
    x = 31,647.22

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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.