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Finding the Fourth Proportional to 31,783, 43,868.60 and 21,715.51

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Solution

The fourth proportional to 31,783, 43,868.60 and 21,715.51 is: 29,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783 : 43,868.60 = 21,715.51 : x
  2. Step 2: Convert to fraction form
    31,783/43,868.60 = 21,715.51/x
  3. Step 3: Cross multiply
    31,783x = 43,868.60 × 21,715.51
  4. Step 4: Simplify right side
    31,783x = 952,629,021.99
  5. Step 5: Solve for x
    x = 952,629,021.99/31,783
  6. Step 6: Final answer
    x = 29,972.91

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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.