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Finding the Fourth Proportional to 29,771.52, 44,634.24 and 13,344

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Solution

The fourth proportional to 29,771.52, 44,634.24 and 13,344 is: 20,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,771.52 : 44,634.24 = 13,344 : x
  2. Step 2: Convert to fraction form
    29,771.52/44,634.24 = 13,344/x
  3. Step 3: Cross multiply
    29,771.52x = 44,634.24 × 13,344
  4. Step 4: Simplify right side
    29,771.52x = 595,599,298.56
  5. Step 5: Solve for x
    x = 595,599,298.56/29,771.52
  6. Step 6: Final answer
    x = 20,005.67

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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.