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Finding the Fourth Proportional to 34,748.99, 52,123.49 and 13,967.63

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Solution

The fourth proportional to 34,748.99, 52,123.49 and 13,967.63 is: 20,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,748.99 : 52,123.49 = 13,967.63 : x
  2. Step 2: Convert to fraction form
    34,748.99/52,123.49 = 13,967.63/x
  3. Step 3: Cross multiply
    34,748.99x = 52,123.49 × 13,967.63
  4. Step 4: Simplify right side
    34,748.99x = 728,041,292.17
  5. Step 5: Solve for x
    x = 728,041,292.17/34,748.99
  6. Step 6: Final answer
    x = 20,951.44

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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.