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Finding the Fourth Proportional to 31,387.50, 47,081.25 and 8,014.14

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Solution

The fourth proportional to 31,387.50, 47,081.25 and 8,014.14 is: 12,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,387.50 : 47,081.25 = 8,014.14 : x
  2. Step 2: Convert to fraction form
    31,387.50/47,081.25 = 8,014.14/x
  3. Step 3: Cross multiply
    31,387.50x = 47,081.25 × 8,014.14
  4. Step 4: Simplify right side
    31,387.50x = 377,315,728.88
  5. Step 5: Solve for x
    x = 377,315,728.88/31,387.50
  6. Step 6: Final answer
    x = 12,021.21

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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.