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Finding the Fourth Proportional to 31,385.50, 47,078.21 and 8,011.94

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Solution

The fourth proportional to 31,385.50, 47,078.21 and 8,011.94 is: 12,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,385.50 : 47,078.21 = 8,011.94 : x
  2. Step 2: Convert to fraction form
    31,385.50/47,078.21 = 8,011.94/x
  3. Step 3: Cross multiply
    31,385.50x = 47,078.21 × 8,011.94
  4. Step 4: Simplify right side
    31,385.50x = 377,187,793.83
  5. Step 5: Solve for x
    x = 377,187,793.83/31,385.50
  6. Step 6: Final answer
    x = 12,017.90

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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.