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Finding the Fourth Proportional to 30,954.45, 46,431.12 and 7,581.09

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Solution

The fourth proportional to 30,954.45, 46,431.12 and 7,581.09 is: 11,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954.45 : 46,431.12 = 7,581.09 : x
  2. Step 2: Convert to fraction form
    30,954.45/46,431.12 = 7,581.09/x
  3. Step 3: Cross multiply
    30,954.45x = 46,431.12 × 7,581.09
  4. Step 4: Simplify right side
    30,954.45x = 351,998,499.52
  5. Step 5: Solve for x
    x = 351,998,499.52/30,954.45
  6. Step 6: Final answer
    x = 11,371.50

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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.