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Finding the Fourth Proportional to 114,932.97, 172,399.59 and 31,826.97

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Solution

The fourth proportional to 114,932.97, 172,399.59 and 31,826.97 is: 47,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,932.97 : 172,399.59 = 31,826.97 : x
  2. Step 2: Convert to fraction form
    114,932.97/172,399.59 = 31,826.97/x
  3. Step 3: Cross multiply
    114,932.97x = 172,399.59 × 31,826.97
  4. Step 4: Simplify right side
    114,932.97x = 5,486,956,578.94
  5. Step 5: Solve for x
    x = 5,486,956,578.94/114,932.97
  6. Step 6: Final answer
    x = 47,740.49

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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.