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Finding the Fourth Proportional to 31,392.12, 47,089.50 and 8,019.24

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Solution

The fourth proportional to 31,392.12, 47,089.50 and 8,019.24 is: 12,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,392.12 : 47,089.50 = 8,019.24 : x
  2. Step 2: Convert to fraction form
    31,392.12/47,089.50 = 8,019.24/x
  3. Step 3: Cross multiply
    31,392.12x = 47,089.50 × 8,019.24
  4. Step 4: Simplify right side
    31,392.12x = 377,622,001.98
  5. Step 5: Solve for x
    x = 377,622,001.98/31,392.12
  6. Step 6: Final answer
    x = 12,029.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.