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Finding the Fourth Proportional to 34,141.97, 47,089.22 and 22,209.12

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Solution

The fourth proportional to 34,141.97, 47,089.22 and 22,209.12 is: 30,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141.97 : 47,089.22 = 22,209.12 : x
  2. Step 2: Convert to fraction form
    34,141.97/47,089.22 = 22,209.12/x
  3. Step 3: Cross multiply
    34,141.97x = 47,089.22 × 22,209.12
  4. Step 4: Simplify right side
    34,141.97x = 1,045,810,026.64
  5. Step 5: Solve for x
    x = 1,045,810,026.64/34,141.97
  6. Step 6: Final answer
    x = 30,631.21

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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.