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Finding the Fourth Proportional to 29,905.38, 41,268.42 and 16,476.57

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Solution

The fourth proportional to 29,905.38, 41,268.42 and 16,476.57 is: 22,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,905.38 : 41,268.42 = 16,476.57 : x
  2. Step 2: Convert to fraction form
    29,905.38/41,268.42 = 16,476.57/x
  3. Step 3: Cross multiply
    29,905.38x = 41,268.42 × 16,476.57
  4. Step 4: Simplify right side
    29,905.38x = 679,962,010.92
  5. Step 5: Solve for x
    x = 679,962,010.92/29,905.38
  6. Step 6: Final answer
    x = 22,737.11

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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.