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Finding the Fourth Proportional to 34,201.80, 51,229.80 and 29,827.80

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Solution

The fourth proportional to 34,201.80, 51,229.80 and 29,827.80 is: 44,678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,201.80 : 51,229.80 = 29,827.80 : x
  2. Step 2: Convert to fraction form
    34,201.80/51,229.80 = 29,827.80/x
  3. Step 3: Cross multiply
    34,201.80x = 51,229.80 × 29,827.80
  4. Step 4: Simplify right side
    34,201.80x = 1,528,072,228.44
  5. Step 5: Solve for x
    x = 1,528,072,228.44/34,201.80
  6. Step 6: Final answer
    x = 44,678.12

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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.