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Finding the Fourth Proportional to 34,200.65, 51,223.05 and 27,951.32

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Solution

The fourth proportional to 34,200.65, 51,223.05 and 27,951.32 is: 41,863.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,200.65 : 51,223.05 = 27,951.32 : x
  2. Step 2: Convert to fraction form
    34,200.65/51,223.05 = 27,951.32/x
  3. Step 3: Cross multiply
    34,200.65x = 51,223.05 × 27,951.32
  4. Step 4: Simplify right side
    34,200.65x = 1,431,751,605.81
  5. Step 5: Solve for x
    x = 1,431,751,605.81/34,200.65
  6. Step 6: Final answer
    x = 41,863.29

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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.