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Finding the Fourth Proportional to 25,082.73, 37,642.32 and 20,211.21

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Solution

The fourth proportional to 25,082.73, 37,642.32 and 20,211.21 is: 30,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,082.73 : 37,642.32 = 20,211.21 : x
  2. Step 2: Convert to fraction form
    25,082.73/37,642.32 = 20,211.21/x
  3. Step 3: Cross multiply
    25,082.73x = 37,642.32 × 20,211.21
  4. Step 4: Simplify right side
    25,082.73x = 760,796,834.41
  5. Step 5: Solve for x
    x = 760,796,834.41/25,082.73
  6. Step 6: Final answer
    x = 30,331.50

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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.