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Finding the Fourth Proportional to 31,509.93, 43,469.54 and 21,297.69

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Solution

The fourth proportional to 31,509.93, 43,469.54 and 21,297.69 is: 29,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.93 : 43,469.54 = 21,297.69 : x
  2. Step 2: Convert to fraction form
    31,509.93/43,469.54 = 21,297.69/x
  3. Step 3: Cross multiply
    31,509.93x = 43,469.54 × 21,297.69
  4. Step 4: Simplify right side
    31,509.93x = 925,800,680.87
  5. Step 5: Solve for x
    x = 925,800,680.87/31,509.93
  6. Step 6: Final answer
    x = 29,381.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.