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Finding the Fourth Proportional to 114,960.85, 172,441.34 and 31,854.85

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Solution

The fourth proportional to 114,960.85, 172,441.34 and 31,854.85 is: 47,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,960.85 : 172,441.34 = 31,854.85 : x
  2. Step 2: Convert to fraction form
    114,960.85/172,441.34 = 31,854.85/x
  3. Step 3: Cross multiply
    114,960.85x = 172,441.34 × 31,854.85
  4. Step 4: Simplify right side
    114,960.85x = 5,493,093,019.50
  5. Step 5: Solve for x
    x = 5,493,093,019.50/114,960.85
  6. Step 6: Final answer
    x = 47,782.29

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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.