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Finding the Fourth Proportional to 35,622, 53,433.72 and 10,998

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Solution

The fourth proportional to 35,622, 53,433.72 and 10,998 is: 16,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,622 : 53,433.72 = 10,998 : x
  2. Step 2: Convert to fraction form
    35,622/53,433.72 = 10,998/x
  3. Step 3: Cross multiply
    35,622x = 53,433.72 × 10,998
  4. Step 4: Simplify right side
    35,622x = 587,664,052.56
  5. Step 5: Solve for x
    x = 587,664,052.56/35,622
  6. Step 6: Final answer
    x = 16,497.22

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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.