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Finding the Fourth Proportional to 31,125.50, 42,950.27 and 17,694.12

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Solution

The fourth proportional to 31,125.50, 42,950.27 and 17,694.12 is: 24,416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,125.50 : 42,950.27 = 17,694.12 : x
  2. Step 2: Convert to fraction form
    31,125.50/42,950.27 = 17,694.12/x
  3. Step 3: Cross multiply
    31,125.50x = 42,950.27 × 17,694.12
  4. Step 4: Simplify right side
    31,125.50x = 759,967,231.41
  5. Step 5: Solve for x
    x = 759,967,231.41/31,125.50
  6. Step 6: Final answer
    x = 24,416.23

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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.