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Finding the Fourth Proportional to 34,205.39, 51,315.78 and 12,020.30

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Solution

The fourth proportional to 34,205.39, 51,315.78 and 12,020.30 is: 18,033.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.39 : 51,315.78 = 12,020.30 : x
  2. Step 2: Convert to fraction form
    34,205.39/51,315.78 = 12,020.30/x
  3. Step 3: Cross multiply
    34,205.39x = 51,315.78 × 12,020.30
  4. Step 4: Simplify right side
    34,205.39x = 616,831,070.33
  5. Step 5: Solve for x
    x = 616,831,070.33/34,205.39
  6. Step 6: Final answer
    x = 18,033.15

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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.