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Finding the Fourth Proportional to 40,597.24, 60,808.38 and 19,777

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Solution

The fourth proportional to 40,597.24, 60,808.38 and 19,777 is: 29,622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,597.24 : 60,808.38 = 19,777 : x
  2. Step 2: Convert to fraction form
    40,597.24/60,808.38 = 19,777/x
  3. Step 3: Cross multiply
    40,597.24x = 60,808.38 × 19,777
  4. Step 4: Simplify right side
    40,597.24x = 1,202,607,331.26
  5. Step 5: Solve for x
    x = 1,202,607,331.26/40,597.24
  6. Step 6: Final answer
    x = 29,622.88

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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.