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Finding the Fourth Proportional to 29,861.32, 44,793.56 and 7,674.86

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Solution

The fourth proportional to 29,861.32, 44,793.56 and 7,674.86 is: 11,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,861.32 : 44,793.56 = 7,674.86 : x
  2. Step 2: Convert to fraction form
    29,861.32/44,793.56 = 7,674.86/x
  3. Step 3: Cross multiply
    29,861.32x = 44,793.56 × 7,674.86
  4. Step 4: Simplify right side
    29,861.32x = 343,784,301.90
  5. Step 5: Solve for x
    x = 343,784,301.90/29,861.32
  6. Step 6: Final answer
    x = 11,512.70

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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.