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Finding the Fourth Proportional to 40,498.70, 60,729 and 13,837.56

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Solution

The fourth proportional to 40,498.70, 60,729 and 13,837.56 is: 20,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,498.70 : 60,729 = 13,837.56 : x
  2. Step 2: Convert to fraction form
    40,498.70/60,729 = 13,837.56/x
  3. Step 3: Cross multiply
    40,498.70x = 60,729 × 13,837.56
  4. Step 4: Simplify right side
    40,498.70x = 840,341,181.24
  5. Step 5: Solve for x
    x = 840,341,181.24/40,498.70
  6. Step 6: Final answer
    x = 20,749.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.