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Finding the Fourth Proportional to 34,294.56, 51,434.03 and 16,516.14

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Solution

The fourth proportional to 34,294.56, 51,434.03 and 16,516.14 is: 24,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,294.56 : 51,434.03 = 16,516.14 : x
  2. Step 2: Convert to fraction form
    34,294.56/51,434.03 = 16,516.14/x
  3. Step 3: Cross multiply
    34,294.56x = 51,434.03 × 16,516.14
  4. Step 4: Simplify right side
    34,294.56x = 849,491,557.66
  5. Step 5: Solve for x
    x = 849,491,557.66/34,294.56
  6. Step 6: Final answer
    x = 24,770.45

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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.