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Finding the Fourth Proportional to 34,266.42, 51,405.03 and 10,898.10

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Solution

The fourth proportional to 34,266.42, 51,405.03 and 10,898.10 is: 16,348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,266.42 : 51,405.03 = 10,898.10 : x
  2. Step 2: Convert to fraction form
    34,266.42/51,405.03 = 10,898.10/x
  3. Step 3: Cross multiply
    34,266.42x = 51,405.03 × 10,898.10
  4. Step 4: Simplify right side
    34,266.42x = 560,217,157.44
  5. Step 5: Solve for x
    x = 560,217,157.44/34,266.42
  6. Step 6: Final answer
    x = 16,348.87

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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.