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Finding the Fourth Proportional to 114,766.88, 172,160.24 and 31,660.88

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Solution

The fourth proportional to 114,766.88, 172,160.24 and 31,660.88 is: 47,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,766.88 : 172,160.24 = 31,660.88 : x
  2. Step 2: Convert to fraction form
    114,766.88/172,160.24 = 31,660.88/x
  3. Step 3: Cross multiply
    114,766.88x = 172,160.24 × 31,660.88
  4. Step 4: Simplify right side
    114,766.88x = 5,450,743,680.31
  5. Step 5: Solve for x
    x = 5,450,743,680.31/114,766.88
  6. Step 6: Final answer
    x = 47,494.05

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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.