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Finding the Fourth Proportional to 31,408.08, 47,113.74 and 8,034.72

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Solution

The fourth proportional to 31,408.08, 47,113.74 and 8,034.72 is: 12,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.08 : 47,113.74 = 8,034.72 : x
  2. Step 2: Convert to fraction form
    31,408.08/47,113.74 = 8,034.72/x
  3. Step 3: Cross multiply
    31,408.08x = 47,113.74 × 8,034.72
  4. Step 4: Simplify right side
    31,408.08x = 378,545,709.05
  5. Step 5: Solve for x
    x = 378,545,709.05/31,408.08
  6. Step 6: Final answer
    x = 12,052.49

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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.