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Finding the Fourth Proportional to 34,183.80, 51,275.70 and 9,559.80

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Solution

The fourth proportional to 34,183.80, 51,275.70 and 9,559.80 is: 14,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,183.80 : 51,275.70 = 9,559.80 : x
  2. Step 2: Convert to fraction form
    34,183.80/51,275.70 = 9,559.80/x
  3. Step 3: Cross multiply
    34,183.80x = 51,275.70 × 9,559.80
  4. Step 4: Simplify right side
    34,183.80x = 490,185,436.86
  5. Step 5: Solve for x
    x = 490,185,436.86/34,183.80
  6. Step 6: Final answer
    x = 14,339.70

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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.