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Finding the Fourth Proportional to 35,954.71, 53,906.51 and 13,749.37

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Solution

The fourth proportional to 35,954.71, 53,906.51 and 13,749.37 is: 20,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,954.71 : 53,906.51 = 13,749.37 : x
  2. Step 2: Convert to fraction form
    35,954.71/53,906.51 = 13,749.37/x
  3. Step 3: Cross multiply
    35,954.71x = 53,906.51 × 13,749.37
  4. Step 4: Simplify right side
    35,954.71x = 741,180,451.01
  5. Step 5: Solve for x
    x = 741,180,451.01/35,954.71
  6. Step 6: Final answer
    x = 20,614.28

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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.