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Finding the Fourth Proportional to 29,830.73, 41,166.50 and 16,402.82

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Solution

The fourth proportional to 29,830.73, 41,166.50 and 16,402.82 is: 22,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830.73 : 41,166.50 = 16,402.82 : x
  2. Step 2: Convert to fraction form
    29,830.73/41,166.50 = 16,402.82/x
  3. Step 3: Cross multiply
    29,830.73x = 41,166.50 × 16,402.82
  4. Step 4: Simplify right side
    29,830.73x = 675,246,833.45
  5. Step 5: Solve for x
    x = 675,246,833.45/29,830.73
  6. Step 6: Final answer
    x = 22,635.95

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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.