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Finding the Fourth Proportional to 34,077.20, 51,115.80 and 9,453.20

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Solution

The fourth proportional to 34,077.20, 51,115.80 and 9,453.20 is: 14,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,077.20 : 51,115.80 = 9,453.20 : x
  2. Step 2: Convert to fraction form
    34,077.20/51,115.80 = 9,453.20/x
  3. Step 3: Cross multiply
    34,077.20x = 51,115.80 × 9,453.20
  4. Step 4: Simplify right side
    34,077.20x = 483,207,880.56
  5. Step 5: Solve for x
    x = 483,207,880.56/34,077.20
  6. Step 6: Final answer
    x = 14,179.80

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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.