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Finding the Fourth Proportional to 34,164.52, 51,246.80 and 9,540.52

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Solution

The fourth proportional to 34,164.52, 51,246.80 and 9,540.52 is: 14,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,164.52 : 51,246.80 = 9,540.52 : x
  2. Step 2: Convert to fraction form
    34,164.52/51,246.80 = 9,540.52/x
  3. Step 3: Cross multiply
    34,164.52x = 51,246.80 × 9,540.52
  4. Step 4: Simplify right side
    34,164.52x = 488,921,120.34
  5. Step 5: Solve for x
    x = 488,921,120.34/34,164.52
  6. Step 6: Final answer
    x = 14,310.79

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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.