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Finding the Fourth Proportional to 34,748.70, 52,123.09 and 8,453.26

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Solution

The fourth proportional to 34,748.70, 52,123.09 and 8,453.26 is: 12,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,748.70 : 52,123.09 = 8,453.26 : x
  2. Step 2: Convert to fraction form
    34,748.70/52,123.09 = 8,453.26/x
  3. Step 3: Cross multiply
    34,748.70x = 52,123.09 × 8,453.26
  4. Step 4: Simplify right side
    34,748.70x = 440,610,031.77
  5. Step 5: Solve for x
    x = 440,610,031.77/34,748.70
  6. Step 6: Final answer
    x = 12,679.90

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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.