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Finding the Fourth Proportional to 34,141.10, 51,211.65 and 20,144.30

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Solution

The fourth proportional to 34,141.10, 51,211.65 and 20,144.30 is: 30,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141.10 : 51,211.65 = 20,144.30 : x
  2. Step 2: Convert to fraction form
    34,141.10/51,211.65 = 20,144.30/x
  3. Step 3: Cross multiply
    34,141.10x = 51,211.65 × 20,144.30
  4. Step 4: Simplify right side
    34,141.10x = 1,031,622,841.10
  5. Step 5: Solve for x
    x = 1,031,622,841.10/34,141.10
  6. Step 6: Final answer
    x = 30,216.45

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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.