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Finding the Fourth Proportional to 40,192, 60,300.64 and 18,024

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Solution

The fourth proportional to 40,192, 60,300.64 and 18,024 is: 27,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,192 : 60,300.64 = 18,024 : x
  2. Step 2: Convert to fraction form
    40,192/60,300.64 = 18,024/x
  3. Step 3: Cross multiply
    40,192x = 60,300.64 × 18,024
  4. Step 4: Simplify right side
    40,192x = 1,086,858,735.36
  5. Step 5: Solve for x
    x = 1,086,858,735.36/40,192
  6. Step 6: Final answer
    x = 27,041.67

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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.