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Finding the Fourth Proportional to 46,508.54, 69,761.78 and 14,917.33

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Solution

The fourth proportional to 46,508.54, 69,761.78 and 14,917.33 is: 22,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,508.54 : 69,761.78 = 14,917.33 : x
  2. Step 2: Convert to fraction form
    46,508.54/69,761.78 = 14,917.33/x
  3. Step 3: Cross multiply
    46,508.54x = 69,761.78 × 14,917.33
  4. Step 4: Simplify right side
    46,508.54x = 1,040,659,356.54
  5. Step 5: Solve for x
    x = 1,040,659,356.54/46,508.54
  6. Step 6: Final answer
    x = 22,375.66

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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.