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Finding the Fourth Proportional to 34,538.40, 47,671.44 and 22,630.56

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Solution

The fourth proportional to 34,538.40, 47,671.44 and 22,630.56 is: 31,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,538.40 : 47,671.44 = 22,630.56 : x
  2. Step 2: Convert to fraction form
    34,538.40/47,671.44 = 22,630.56/x
  3. Step 3: Cross multiply
    34,538.40x = 47,671.44 × 22,630.56
  4. Step 4: Simplify right side
    34,538.40x = 1,078,831,383.21
  5. Step 5: Solve for x
    x = 1,078,831,383.21/34,538.40
  6. Step 6: Final answer
    x = 31,235.71

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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.