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Finding the Fourth Proportional to 29,890.70, 41,249.17 and 16,461.93

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Solution

The fourth proportional to 29,890.70, 41,249.17 and 16,461.93 is: 22,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,890.70 : 41,249.17 = 16,461.93 : x
  2. Step 2: Convert to fraction form
    29,890.70/41,249.17 = 16,461.93/x
  3. Step 3: Cross multiply
    29,890.70x = 41,249.17 × 16,461.93
  4. Step 4: Simplify right side
    29,890.70x = 679,040,949.10
  5. Step 5: Solve for x
    x = 679,040,949.10/29,890.70
  6. Step 6: Final answer
    x = 22,717.47

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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.