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Finding the Fourth Proportional to 31,277.70, 43,165.26 and 20,529

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Solution

The fourth proportional to 31,277.70, 43,165.26 and 20,529 is: 28,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,277.70 : 43,165.26 = 20,529 : x
  2. Step 2: Convert to fraction form
    31,277.70/43,165.26 = 20,529/x
  3. Step 3: Cross multiply
    31,277.70x = 43,165.26 × 20,529
  4. Step 4: Simplify right side
    31,277.70x = 886,139,622.54
  5. Step 5: Solve for x
    x = 886,139,622.54/31,277.70
  6. Step 6: Final answer
    x = 28,331.36

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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.