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Finding the Fourth Proportional to 46,680.28, 69,997.68 and 15,505

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Solution

The fourth proportional to 46,680.28, 69,997.68 and 15,505 is: 23,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,680.28 : 69,997.68 = 15,505 : x
  2. Step 2: Convert to fraction form
    46,680.28/69,997.68 = 15,505/x
  3. Step 3: Cross multiply
    46,680.28x = 69,997.68 × 15,505
  4. Step 4: Simplify right side
    46,680.28x = 1,085,314,028.40
  5. Step 5: Solve for x
    x = 1,085,314,028.40/46,680.28
  6. Step 6: Final answer
    x = 23,249.95

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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.