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Finding the Fourth Proportional to 90,546.65, 135,736.82 and 31,340.91

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Solution

The fourth proportional to 90,546.65, 135,736.82 and 31,340.91 is: 46,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,546.65 : 135,736.82 = 31,340.91 : x
  2. Step 2: Convert to fraction form
    90,546.65/135,736.82 = 31,340.91/x
  3. Step 3: Cross multiply
    90,546.65x = 135,736.82 × 31,340.91
  4. Step 4: Simplify right side
    90,546.65x = 4,254,115,302.60
  5. Step 5: Solve for x
    x = 4,254,115,302.60/90,546.65
  6. Step 6: Final answer
    x = 46,982.58

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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.