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Finding the Fourth Proportional to 35,638.36, 53,450.04 and 13,451.24

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Solution

The fourth proportional to 35,638.36, 53,450.04 and 13,451.24 is: 20,174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,638.36 : 53,450.04 = 13,451.24 : x
  2. Step 2: Convert to fraction form
    35,638.36/53,450.04 = 13,451.24/x
  3. Step 3: Cross multiply
    35,638.36x = 53,450.04 × 13,451.24
  4. Step 4: Simplify right side
    35,638.36x = 718,969,316.05
  5. Step 5: Solve for x
    x = 718,969,316.05/35,638.36
  6. Step 6: Final answer
    x = 20,174.03

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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.