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Finding the Fourth Proportional to 34,170.52, 51,251.64 and 9,212.80

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Solution

The fourth proportional to 34,170.52, 51,251.64 and 9,212.80 is: 13,818.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,170.52 : 51,251.64 = 9,212.80 : x
  2. Step 2: Convert to fraction form
    34,170.52/51,251.64 = 9,212.80/x
  3. Step 3: Cross multiply
    34,170.52x = 51,251.64 × 9,212.80
  4. Step 4: Simplify right side
    34,170.52x = 472,171,108.99
  5. Step 5: Solve for x
    x = 472,171,108.99/34,170.52
  6. Step 6: Final answer
    x = 13,818.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.