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Finding the Fourth Proportional to 51,771.51, 71,443.04 and 29,111.49

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Solution

The fourth proportional to 51,771.51, 71,443.04 and 29,111.49 is: 40,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,771.51 : 71,443.04 = 29,111.49 : x
  2. Step 2: Convert to fraction form
    51,771.51/71,443.04 = 29,111.49/x
  3. Step 3: Cross multiply
    51,771.51x = 71,443.04 × 29,111.49
  4. Step 4: Simplify right side
    51,771.51x = 2,079,813,198.97
  5. Step 5: Solve for x
    x = 2,079,813,198.97/51,771.51
  6. Step 6: Final answer
    x = 40,172.93

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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.