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Finding the Fourth Proportional to 31,310.83, 43,213.37 and 19,378.01

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Solution

The fourth proportional to 31,310.83, 43,213.37 and 19,378.01 is: 26,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,310.83 : 43,213.37 = 19,378.01 : x
  2. Step 2: Convert to fraction form
    31,310.83/43,213.37 = 19,378.01/x
  3. Step 3: Cross multiply
    31,310.83x = 43,213.37 × 19,378.01
  4. Step 4: Simplify right side
    31,310.83x = 837,389,115.99
  5. Step 5: Solve for x
    x = 837,389,115.99/31,310.83
  6. Step 6: Final answer
    x = 26,744.39

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Why These Related Problems?

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