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Finding the Fourth Proportional to 39,735, 54,832.34 and 23,816.36

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Solution

The fourth proportional to 39,735, 54,832.34 and 23,816.36 is: 32,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,735 : 54,832.34 = 23,816.36 : x
  2. Step 2: Convert to fraction form
    39,735/54,832.34 = 23,816.36/x
  3. Step 3: Cross multiply
    39,735x = 54,832.34 × 23,816.36
  4. Step 4: Simplify right side
    39,735x = 1,305,906,749.08
  5. Step 5: Solve for x
    x = 1,305,906,749.08/39,735
  6. Step 6: Final answer
    x = 32,865.40

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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.