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Finding the Fourth Proportional to 52,676.89, 72,688.16 and 31,167.30

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Solution

The fourth proportional to 52,676.89, 72,688.16 and 31,167.30 is: 43,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,676.89 : 72,688.16 = 31,167.30 : x
  2. Step 2: Convert to fraction form
    52,676.89/72,688.16 = 31,167.30/x
  3. Step 3: Cross multiply
    52,676.89x = 72,688.16 × 31,167.30
  4. Step 4: Simplify right side
    52,676.89x = 2,265,493,169.89
  5. Step 5: Solve for x
    x = 2,265,493,169.89/52,676.89
  6. Step 6: Final answer
    x = 43,007.34

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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.