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Finding the Fourth Proportional to 31,592.96, 47,418.10 and 16,814.32

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Solution

The fourth proportional to 31,592.96, 47,418.10 and 16,814.32 is: 25,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,592.96 : 47,418.10 = 16,814.32 : x
  2. Step 2: Convert to fraction form
    31,592.96/47,418.10 = 16,814.32/x
  3. Step 3: Cross multiply
    31,592.96x = 47,418.10 × 16,814.32
  4. Step 4: Simplify right side
    31,592.96x = 797,303,107.19
  5. Step 5: Solve for x
    x = 797,303,107.19/31,592.96
  6. Step 6: Final answer
    x = 25,236.73

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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.