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Finding the Fourth Proportional to 34,057.24, 51,085.80 and 10,683.64

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Solution

The fourth proportional to 34,057.24, 51,085.80 and 10,683.64 is: 16,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,057.24 : 51,085.80 = 10,683.64 : x
  2. Step 2: Convert to fraction form
    34,057.24/51,085.80 = 10,683.64/x
  3. Step 3: Cross multiply
    34,057.24x = 51,085.80 × 10,683.64
  4. Step 4: Simplify right side
    34,057.24x = 545,782,296.31
  5. Step 5: Solve for x
    x = 545,782,296.31/34,057.24
  6. Step 6: Final answer
    x = 16,025.44

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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.