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Finding the Fourth Proportional to 31,445.37, 47,168.06 and 8,071.82

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Solution

The fourth proportional to 31,445.37, 47,168.06 and 8,071.82 is: 12,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,445.37 : 47,168.06 = 8,071.82 : x
  2. Step 2: Convert to fraction form
    31,445.37/47,168.06 = 8,071.82/x
  3. Step 3: Cross multiply
    31,445.37x = 47,168.06 × 8,071.82
  4. Step 4: Simplify right side
    31,445.37x = 380,731,813.87
  5. Step 5: Solve for x
    x = 380,731,813.87/31,445.37
  6. Step 6: Final answer
    x = 12,107.72

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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.