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Finding the Fourth Proportional to 23,935, 35,903.94 and 7,519

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Solution

The fourth proportional to 23,935, 35,903.94 and 7,519 is: 11,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,935 : 35,903.94 = 7,519 : x
  2. Step 2: Convert to fraction form
    23,935/35,903.94 = 7,519/x
  3. Step 3: Cross multiply
    23,935x = 35,903.94 × 7,519
  4. Step 4: Simplify right side
    23,935x = 269,961,724.86
  5. Step 5: Solve for x
    x = 269,961,724.86/23,935
  6. Step 6: Final answer
    x = 11,278.95

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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.