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Finding the Fourth Proportional to 31,165.50, 46,761.96 and 16,371

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Solution

The fourth proportional to 31,165.50, 46,761.96 and 16,371 is: 24,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,165.50 : 46,761.96 = 16,371 : x
  2. Step 2: Convert to fraction form
    31,165.50/46,761.96 = 16,371/x
  3. Step 3: Cross multiply
    31,165.50x = 46,761.96 × 16,371
  4. Step 4: Simplify right side
    31,165.50x = 765,540,047.16
  5. Step 5: Solve for x
    x = 765,540,047.16/31,165.50
  6. Step 6: Final answer
    x = 24,563.70

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Why These Related Problems?

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