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Finding the Fourth Proportional to 46,422.36, 69,633 and 11,361.96

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Solution

The fourth proportional to 46,422.36, 69,633 and 11,361.96 is: 17,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,422.36 : 69,633 = 11,361.96 : x
  2. Step 2: Convert to fraction form
    46,422.36/69,633 = 11,361.96/x
  3. Step 3: Cross multiply
    46,422.36x = 69,633 × 11,361.96
  4. Step 4: Simplify right side
    46,422.36x = 791,167,360.68
  5. Step 5: Solve for x
    x = 791,167,360.68/46,422.36
  6. Step 6: Final answer
    x = 17,042.81

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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.