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Finding the Fourth Proportional to 106,249.32, 159,336.80 and 31,349.58

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Solution

The fourth proportional to 106,249.32, 159,336.80 and 31,349.58 is: 47,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,249.32 : 159,336.80 = 31,349.58 : x
  2. Step 2: Convert to fraction form
    106,249.32/159,336.80 = 31,349.58/x
  3. Step 3: Cross multiply
    106,249.32x = 159,336.80 × 31,349.58
  4. Step 4: Simplify right side
    106,249.32x = 4,995,141,758.54
  5. Step 5: Solve for x
    x = 4,995,141,758.54/106,249.32
  6. Step 6: Final answer
    x = 47,013.40

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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.