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Finding the Fourth Proportional to 29,474.82, 40,675.77 and 16,046.46

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Solution

The fourth proportional to 29,474.82, 40,675.77 and 16,046.46 is: 22,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,474.82 : 40,675.77 = 16,046.46 : x
  2. Step 2: Convert to fraction form
    29,474.82/40,675.77 = 16,046.46/x
  3. Step 3: Cross multiply
    29,474.82x = 40,675.77 × 16,046.46
  4. Step 4: Simplify right side
    29,474.82x = 652,702,116.27
  5. Step 5: Solve for x
    x = 652,702,116.27/29,474.82
  6. Step 6: Final answer
    x = 22,144.40

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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.