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Finding the Fourth Proportional to 71,197, 106,791.82 and 21,277.51

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Solution

The fourth proportional to 71,197, 106,791.82 and 21,277.51 is: 31,915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,197 : 106,791.82 = 21,277.51 : x
  2. Step 2: Convert to fraction form
    71,197/106,791.82 = 21,277.51/x
  3. Step 3: Cross multiply
    71,197x = 106,791.82 × 21,277.51
  4. Step 4: Simplify right side
    71,197x = 2,272,264,017.97
  5. Step 5: Solve for x
    x = 2,272,264,017.97/71,197
  6. Step 6: Final answer
    x = 31,915.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.