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Finding the Fourth Proportional to 34,414.52, 51,630.44 and 9,790.52

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Solution

The fourth proportional to 34,414.52, 51,630.44 and 9,790.52 is: 14,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.52 : 51,630.44 = 9,790.52 : x
  2. Step 2: Convert to fraction form
    34,414.52/51,630.44 = 9,790.52/x
  3. Step 3: Cross multiply
    34,414.52x = 51,630.44 × 9,790.52
  4. Step 4: Simplify right side
    34,414.52x = 505,488,855.43
  5. Step 5: Solve for x
    x = 505,488,855.43/34,414.52
  6. Step 6: Final answer
    x = 14,688.24

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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.