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Finding the Fourth Proportional to 29,771.82, 41,083.61 and 16,342.70

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Solution

The fourth proportional to 29,771.82, 41,083.61 and 16,342.70 is: 22,552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,771.82 : 41,083.61 = 16,342.70 : x
  2. Step 2: Convert to fraction form
    29,771.82/41,083.61 = 16,342.70/x
  3. Step 3: Cross multiply
    29,771.82x = 41,083.61 × 16,342.70
  4. Step 4: Simplify right side
    29,771.82x = 671,416,826.02
  5. Step 5: Solve for x
    x = 671,416,826.02/29,771.82
  6. Step 6: Final answer
    x = 22,552.09

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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.