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Finding the Fourth Proportional to 31,145.69, 46,732.22 and 16,351.17

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Solution

The fourth proportional to 31,145.69, 46,732.22 and 16,351.17 is: 24,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145.69 : 46,732.22 = 16,351.17 : x
  2. Step 2: Convert to fraction form
    31,145.69/46,732.22 = 16,351.17/x
  3. Step 3: Cross multiply
    31,145.69x = 46,732.22 × 16,351.17
  4. Step 4: Simplify right side
    31,145.69x = 764,126,391.94
  5. Step 5: Solve for x
    x = 764,126,391.94/31,145.69
  6. Step 6: Final answer
    x = 24,533.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.