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Finding the Fourth Proportional to 34,548.69, 51,790.23 and 13,502.23

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Solution

The fourth proportional to 34,548.69, 51,790.23 and 13,502.23 is: 20,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,548.69 : 51,790.23 = 13,502.23 : x
  2. Step 2: Convert to fraction form
    34,548.69/51,790.23 = 13,502.23/x
  3. Step 3: Cross multiply
    34,548.69x = 51,790.23 × 13,502.23
  4. Step 4: Simplify right side
    34,548.69x = 699,283,575.42
  5. Step 5: Solve for x
    x = 699,283,575.42/34,548.69
  6. Step 6: Final answer
    x = 20,240.52

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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.