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Finding the Fourth Proportional to 29,978.64, 41,361.30 and 17,400.96

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Solution

The fourth proportional to 29,978.64, 41,361.30 and 17,400.96 is: 24,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.64 : 41,361.30 = 17,400.96 : x
  2. Step 2: Convert to fraction form
    29,978.64/41,361.30 = 17,400.96/x
  3. Step 3: Cross multiply
    29,978.64x = 41,361.30 × 17,400.96
  4. Step 4: Simplify right side
    29,978.64x = 719,726,326.85
  5. Step 5: Solve for x
    x = 719,726,326.85/29,978.64
  6. Step 6: Final answer
    x = 24,007.97

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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.