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Finding the Fourth Proportional to 31,765.50, 43,836.39 and 17,621.28

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Solution

The fourth proportional to 31,765.50, 43,836.39 and 17,621.28 is: 24,317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,765.50 : 43,836.39 = 17,621.28 : x
  2. Step 2: Convert to fraction form
    31,765.50/43,836.39 = 17,621.28/x
  3. Step 3: Cross multiply
    31,765.50x = 43,836.39 × 17,621.28
  4. Step 4: Simplify right side
    31,765.50x = 772,453,302.38
  5. Step 5: Solve for x
    x = 772,453,302.38/31,765.50
  6. Step 6: Final answer
    x = 24,317.37

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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.