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Finding the Fourth Proportional to 73,523.90, 110,322.32 and 29,149.67

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Solution

The fourth proportional to 73,523.90, 110,322.32 and 29,149.67 is: 43,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,523.90 : 110,322.32 = 29,149.67 : x
  2. Step 2: Convert to fraction form
    73,523.90/110,322.32 = 29,149.67/x
  3. Step 3: Cross multiply
    73,523.90x = 110,322.32 × 29,149.67
  4. Step 4: Simplify right side
    73,523.90x = 3,215,859,221.63
  5. Step 5: Solve for x
    x = 3,215,859,221.63/73,523.90
  6. Step 6: Final answer
    x = 43,738.96

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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.