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Finding the Fourth Proportional to 35,351.30, 53,015.67 and 11,654.43

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Solution

The fourth proportional to 35,351.30, 53,015.67 and 11,654.43 is: 17,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,351.30 : 53,015.67 = 11,654.43 : x
  2. Step 2: Convert to fraction form
    35,351.30/53,015.67 = 11,654.43/x
  3. Step 3: Cross multiply
    35,351.30x = 53,015.67 × 11,654.43
  4. Step 4: Simplify right side
    35,351.30x = 617,867,414.92
  5. Step 5: Solve for x
    x = 617,867,414.92/35,351.30
  6. Step 6: Final answer
    x = 17,477.93

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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.