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Finding the Fourth Proportional to 46,496.78, 69,745.17 and 21,523.17

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Solution

The fourth proportional to 46,496.78, 69,745.17 and 21,523.17 is: 32,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,496.78 : 69,745.17 = 21,523.17 : x
  2. Step 2: Convert to fraction form
    46,496.78/69,745.17 = 21,523.17/x
  3. Step 3: Cross multiply
    46,496.78x = 69,745.17 × 21,523.17
  4. Step 4: Simplify right side
    46,496.78x = 1,501,137,150.59
  5. Step 5: Solve for x
    x = 1,501,137,150.59/46,496.78
  6. Step 6: Final answer
    x = 32,284.76

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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.