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Finding the Fourth Proportional to 31,097.46, 42,914.23 and 16,950

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Solution

The fourth proportional to 31,097.46, 42,914.23 and 16,950 is: 23,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.46 : 42,914.23 = 16,950 : x
  2. Step 2: Convert to fraction form
    31,097.46/42,914.23 = 16,950/x
  3. Step 3: Cross multiply
    31,097.46x = 42,914.23 × 16,950
  4. Step 4: Simplify right side
    31,097.46x = 727,396,156.13
  5. Step 5: Solve for x
    x = 727,396,156.13/31,097.46
  6. Step 6: Final answer
    x = 23,390.85

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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.