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Finding the Fourth Proportional to 31,134.66, 42,961.49 and 17,704.42

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Solution

The fourth proportional to 31,134.66, 42,961.49 and 17,704.42 is: 24,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.66 : 42,961.49 = 17,704.42 : x
  2. Step 2: Convert to fraction form
    31,134.66/42,961.49 = 17,704.42/x
  3. Step 3: Cross multiply
    31,134.66x = 42,961.49 × 17,704.42
  4. Step 4: Simplify right side
    31,134.66x = 760,608,374.91
  5. Step 5: Solve for x
    x = 760,608,374.91/31,134.66
  6. Step 6: Final answer
    x = 24,429.64

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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.