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Finding the Fourth Proportional to 51,743.71, 71,406.96 and 29,081.37

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Solution

The fourth proportional to 51,743.71, 71,406.96 and 29,081.37 is: 40,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,743.71 : 71,406.96 = 29,081.37 : x
  2. Step 2: Convert to fraction form
    51,743.71/71,406.96 = 29,081.37/x
  3. Step 3: Cross multiply
    51,743.71x = 71,406.96 × 29,081.37
  4. Step 4: Simplify right side
    51,743.71x = 2,076,612,383.06
  5. Step 5: Solve for x
    x = 2,076,612,383.06/51,743.71
  6. Step 6: Final answer
    x = 40,132.65

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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.