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Finding the Fourth Proportional to 58,380, 80,566.32 and 31,884

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Solution

The fourth proportional to 58,380, 80,566.32 and 31,884 is: 44,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,380 : 80,566.32 = 31,884 : x
  2. Step 2: Convert to fraction form
    58,380/80,566.32 = 31,884/x
  3. Step 3: Cross multiply
    58,380x = 80,566.32 × 31,884
  4. Step 4: Simplify right side
    58,380x = 2,568,776,546.88
  5. Step 5: Solve for x
    x = 2,568,776,546.88/58,380
  6. Step 6: Final answer
    x = 44,000.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.