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Finding the Fourth Proportional to 37,818.36, 52,188.60 and 23,679

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Solution

The fourth proportional to 37,818.36, 52,188.60 and 23,679 is: 32,676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,818.36 : 52,188.60 = 23,679 : x
  2. Step 2: Convert to fraction form
    37,818.36/52,188.60 = 23,679/x
  3. Step 3: Cross multiply
    37,818.36x = 52,188.60 × 23,679
  4. Step 4: Simplify right side
    37,818.36x = 1,235,773,859.40
  5. Step 5: Solve for x
    x = 1,235,773,859.40/37,818.36
  6. Step 6: Final answer
    x = 32,676.56

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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.