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Finding the Fourth Proportional to 34,396.68, 51,602.40 and 11,022.96

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Solution

The fourth proportional to 34,396.68, 51,602.40 and 11,022.96 is: 16,536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,396.68 : 51,602.40 = 11,022.96 : x
  2. Step 2: Convert to fraction form
    34,396.68/51,602.40 = 11,022.96/x
  3. Step 3: Cross multiply
    34,396.68x = 51,602.40 × 11,022.96
  4. Step 4: Simplify right side
    34,396.68x = 568,811,191.10
  5. Step 5: Solve for x
    x = 568,811,191.10/34,396.68
  6. Step 6: Final answer
    x = 16,536.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.