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Finding the Fourth Proportional to 35,906.48, 53,863.41 and 13,738.50

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Solution

The fourth proportional to 35,906.48, 53,863.41 and 13,738.50 is: 20,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,906.48 : 53,863.41 = 13,738.50 : x
  2. Step 2: Convert to fraction form
    35,906.48/53,863.41 = 13,738.50/x
  3. Step 3: Cross multiply
    35,906.48x = 53,863.41 × 13,738.50
  4. Step 4: Simplify right side
    35,906.48x = 740,002,458.29
  5. Step 5: Solve for x
    x = 740,002,458.29/35,906.48
  6. Step 6: Final answer
    x = 20,609.16

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