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Finding the Fourth Proportional to 29,877.73, 41,229.76 and 16,450.15

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Solution

The fourth proportional to 29,877.73, 41,229.76 and 16,450.15 is: 22,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,877.73 : 41,229.76 = 16,450.15 : x
  2. Step 2: Convert to fraction form
    29,877.73/41,229.76 = 16,450.15/x
  3. Step 3: Cross multiply
    29,877.73x = 41,229.76 × 16,450.15
  4. Step 4: Simplify right side
    29,877.73x = 678,235,736.46
  5. Step 5: Solve for x
    x = 678,235,736.46/29,877.73
  6. Step 6: Final answer
    x = 22,700.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.