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Finding the Fourth Proportional to 51,654, 71,291.16 and 29,310.96

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Solution

The fourth proportional to 51,654, 71,291.16 and 29,310.96 is: 40,454.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,654 : 71,291.16 = 29,310.96 : x
  2. Step 2: Convert to fraction form
    51,654/71,291.16 = 29,310.96/x
  3. Step 3: Cross multiply
    51,654x = 71,291.16 × 29,310.96
  4. Step 4: Simplify right side
    51,654x = 2,089,612,339.11
  5. Step 5: Solve for x
    x = 2,089,612,339.11/51,654
  6. Step 6: Final answer
    x = 40,454.03

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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.