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Finding the Fourth Proportional to 31,524, 43,502.50 and 17,183.95

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Solution

The fourth proportional to 31,524, 43,502.50 and 17,183.95 is: 23,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524 : 43,502.50 = 17,183.95 : x
  2. Step 2: Convert to fraction form
    31,524/43,502.50 = 17,183.95/x
  3. Step 3: Cross multiply
    31,524x = 43,502.50 × 17,183.95
  4. Step 4: Simplify right side
    31,524x = 747,544,784.88
  5. Step 5: Solve for x
    x = 747,544,784.88/31,524
  6. Step 6: Final answer
    x = 23,713.51

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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.