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Finding the Fourth Proportional to 57,704.91, 86,556.47 and 29,608.76

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Solution

The fourth proportional to 57,704.91, 86,556.47 and 29,608.76 is: 44,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,704.91 : 86,556.47 = 29,608.76 : x
  2. Step 2: Convert to fraction form
    57,704.91/86,556.47 = 29,608.76/x
  3. Step 3: Cross multiply
    57,704.91x = 86,556.47 × 29,608.76
  4. Step 4: Simplify right side
    57,704.91x = 2,562,829,165.85
  5. Step 5: Solve for x
    x = 2,562,829,165.85/57,704.91
  6. Step 6: Final answer
    x = 44,412.67

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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.