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Finding the Fourth Proportional to 31,179.69, 46,757.41 and 10,114.64

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Solution

The fourth proportional to 31,179.69, 46,757.41 and 10,114.64 is: 15,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179.69 : 46,757.41 = 10,114.64 : x
  2. Step 2: Convert to fraction form
    31,179.69/46,757.41 = 10,114.64/x
  3. Step 3: Cross multiply
    31,179.69x = 46,757.41 × 10,114.64
  4. Step 4: Simplify right side
    31,179.69x = 472,934,285.75
  5. Step 5: Solve for x
    x = 472,934,285.75/31,179.69
  6. Step 6: Final answer
    x = 15,168.02

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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.