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Finding the Fourth Proportional to 34,204.39, 51,314.28 and 12,019.30

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Solution

The fourth proportional to 34,204.39, 51,314.28 and 12,019.30 is: 18,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204.39 : 51,314.28 = 12,019.30 : x
  2. Step 2: Convert to fraction form
    34,204.39/51,314.28 = 12,019.30/x
  3. Step 3: Cross multiply
    34,204.39x = 51,314.28 × 12,019.30
  4. Step 4: Simplify right side
    34,204.39x = 616,761,725.60
  5. Step 5: Solve for x
    x = 616,761,725.60/34,204.39
  6. Step 6: Final answer
    x = 18,031.65

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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.