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Finding the Fourth Proportional to 34,149.49, 51,195.02 and 13,104.63

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Solution

The fourth proportional to 34,149.49, 51,195.02 and 13,104.63 is: 19,645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,149.49 : 51,195.02 = 13,104.63 : x
  2. Step 2: Convert to fraction form
    34,149.49/51,195.02 = 13,104.63/x
  3. Step 3: Cross multiply
    34,149.49x = 51,195.02 × 13,104.63
  4. Step 4: Simplify right side
    34,149.49x = 670,891,921.40
  5. Step 5: Solve for x
    x = 670,891,921.40/34,149.49
  6. Step 6: Final answer
    x = 19,645.74

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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.