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Finding the Fourth Proportional to 34,386.50, 51,580.21 and 11,012.94

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Solution

The fourth proportional to 34,386.50, 51,580.21 and 11,012.94 is: 16,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,386.50 : 51,580.21 = 11,012.94 : x
  2. Step 2: Convert to fraction form
    34,386.50/51,580.21 = 11,012.94/x
  3. Step 3: Cross multiply
    34,386.50x = 51,580.21 × 11,012.94
  4. Step 4: Simplify right side
    34,386.50x = 568,049,757.92
  5. Step 5: Solve for x
    x = 568,049,757.92/34,386.50
  6. Step 6: Final answer
    x = 16,519.56

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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.