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Finding the Fourth Proportional to 43,351.34, 65,031.34 and 11,761.90

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Solution

The fourth proportional to 43,351.34, 65,031.34 and 11,761.90 is: 17,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,351.34 : 65,031.34 = 11,761.90 : x
  2. Step 2: Convert to fraction form
    43,351.34/65,031.34 = 11,761.90/x
  3. Step 3: Cross multiply
    43,351.34x = 65,031.34 × 11,761.90
  4. Step 4: Simplify right side
    43,351.34x = 764,892,117.95
  5. Step 5: Solve for x
    x = 764,892,117.95/43,351.34
  6. Step 6: Final answer
    x = 17,644.02

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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.