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Finding the Fourth Proportional to 89,022, 133,429.24 and 49,560.24

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Solution

The fourth proportional to 89,022, 133,429.24 and 49,560.24 is: 74,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,022 : 133,429.24 = 49,560.24 : x
  2. Step 2: Convert to fraction form
    89,022/133,429.24 = 49,560.24/x
  3. Step 3: Cross multiply
    89,022x = 133,429.24 × 49,560.24
  4. Step 4: Simplify right side
    89,022x = 6,612,785,157.42
  5. Step 5: Solve for x
    x = 6,612,785,157.42/89,022
  6. Step 6: Final answer
    x = 74,282.59

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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.