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Finding the Fourth Proportional to 46,647, 69,977.52 and 15,046.47

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Solution

The fourth proportional to 46,647, 69,977.52 and 15,046.47 is: 22,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,647 : 69,977.52 = 15,046.47 : x
  2. Step 2: Convert to fraction form
    46,647/69,977.52 = 15,046.47/x
  3. Step 3: Cross multiply
    46,647x = 69,977.52 × 15,046.47
  4. Step 4: Simplify right side
    46,647x = 1,052,914,655.35
  5. Step 5: Solve for x
    x = 1,052,914,655.35/46,647
  6. Step 6: Final answer
    x = 22,571.97

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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.