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Finding the Fourth Proportional to 31,965.96, 44,116.38 and 19,223.31

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Solution

The fourth proportional to 31,965.96, 44,116.38 and 19,223.31 is: 26,530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,965.96 : 44,116.38 = 19,223.31 : x
  2. Step 2: Convert to fraction form
    31,965.96/44,116.38 = 19,223.31/x
  3. Step 3: Cross multiply
    31,965.96x = 44,116.38 × 19,223.31
  4. Step 4: Simplify right side
    31,965.96x = 848,062,848.82
  5. Step 5: Solve for x
    x = 848,062,848.82/31,965.96
  6. Step 6: Final answer
    x = 26,530.19

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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.