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Finding the Fourth Proportional to 34,193.42, 51,284.99 and 10,816.82

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Solution

The fourth proportional to 34,193.42, 51,284.99 and 10,816.82 is: 16,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,193.42 : 51,284.99 = 10,816.82 : x
  2. Step 2: Convert to fraction form
    34,193.42/51,284.99 = 10,816.82/x
  3. Step 3: Cross multiply
    34,193.42x = 51,284.99 × 10,816.82
  4. Step 4: Simplify right side
    34,193.42x = 554,740,249.11
  5. Step 5: Solve for x
    x = 554,740,249.11/34,193.42
  6. Step 6: Final answer
    x = 16,223.60

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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.