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Finding the Fourth Proportional to 43,643.82, 65,494.43 and 23,936.21

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Solution

The fourth proportional to 43,643.82, 65,494.43 and 23,936.21 is: 35,920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,643.82 : 65,494.43 = 23,936.21 : x
  2. Step 2: Convert to fraction form
    43,643.82/65,494.43 = 23,936.21/x
  3. Step 3: Cross multiply
    43,643.82x = 65,494.43 × 23,936.21
  4. Step 4: Simplify right side
    43,643.82x = 1,567,688,430.31
  5. Step 5: Solve for x
    x = 1,567,688,430.31/43,643.82
  6. Step 6: Final answer
    x = 35,920.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.