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Finding the Fourth Proportional to 34,204.89, 51,315.03 and 12,019.80

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Solution

The fourth proportional to 34,204.89, 51,315.03 and 12,019.80 is: 18,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204.89 : 51,315.03 = 12,019.80 : x
  2. Step 2: Convert to fraction form
    34,204.89/51,315.03 = 12,019.80/x
  3. Step 3: Cross multiply
    34,204.89x = 51,315.03 × 12,019.80
  4. Step 4: Simplify right side
    34,204.89x = 616,796,397.59
  5. Step 5: Solve for x
    x = 616,796,397.59/34,204.89
  6. Step 6: Final answer
    x = 18,032.40

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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.