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Finding the Fourth Proportional to 34,742.99, 52,113.77 and 8,447.87

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Solution

The fourth proportional to 34,742.99, 52,113.77 and 8,447.87 is: 12,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,742.99 : 52,113.77 = 8,447.87 : x
  2. Step 2: Convert to fraction form
    34,742.99/52,113.77 = 8,447.87/x
  3. Step 3: Cross multiply
    34,742.99x = 52,113.77 × 8,447.87
  4. Step 4: Simplify right side
    34,742.99x = 440,250,311.93
  5. Step 5: Solve for x
    x = 440,250,311.93/34,742.99
  6. Step 6: Final answer
    x = 12,671.63

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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.