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Finding the Fourth Proportional to 34,117.20, 51,078.60 and 30,229.20

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Solution

The fourth proportional to 34,117.20, 51,078.60 and 30,229.20 is: 45,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,117.20 : 51,078.60 = 30,229.20 : x
  2. Step 2: Convert to fraction form
    34,117.20/51,078.60 = 30,229.20/x
  3. Step 3: Cross multiply
    34,117.20x = 51,078.60 × 30,229.20
  4. Step 4: Simplify right side
    34,117.20x = 1,544,065,215.12
  5. Step 5: Solve for x
    x = 1,544,065,215.12/34,117.20
  6. Step 6: Final answer
    x = 45,257.68

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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.