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Finding the Fourth Proportional to 34,189.33, 51,306.93 and 12,002.78

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Solution

The fourth proportional to 34,189.33, 51,306.93 and 12,002.78 is: 18,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,189.33 : 51,306.93 = 12,002.78 : x
  2. Step 2: Convert to fraction form
    34,189.33/51,306.93 = 12,002.78/x
  3. Step 3: Cross multiply
    34,189.33x = 51,306.93 × 12,002.78
  4. Step 4: Simplify right side
    34,189.33x = 615,825,793.27
  5. Step 5: Solve for x
    x = 615,825,793.27/34,189.33
  6. Step 6: Final answer
    x = 18,012.22

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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.