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Finding the Fourth Proportional to 35,744.72, 53,626.08 and 20,966

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Solution

The fourth proportional to 35,744.72, 53,626.08 and 20,966 is: 31,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,744.72 : 53,626.08 = 20,966 : x
  2. Step 2: Convert to fraction form
    35,744.72/53,626.08 = 20,966/x
  3. Step 3: Cross multiply
    35,744.72x = 53,626.08 × 20,966
  4. Step 4: Simplify right side
    35,744.72x = 1,124,324,393.28
  5. Step 5: Solve for x
    x = 1,124,324,393.28/35,744.72
  6. Step 6: Final answer
    x = 31,454.28

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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.