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Finding the Fourth Proportional to 30,420.27, 41,967 and 19,082.07

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Solution

The fourth proportional to 30,420.27, 41,967 and 19,082.07 is: 26,325.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420.27 : 41,967 = 19,082.07 : x
  2. Step 2: Convert to fraction form
    30,420.27/41,967 = 19,082.07/x
  3. Step 3: Cross multiply
    30,420.27x = 41,967 × 19,082.07
  4. Step 4: Simplify right side
    30,420.27x = 800,817,231.69
  5. Step 5: Solve for x
    x = 800,817,231.69/30,420.27
  6. Step 6: Final answer
    x = 26,325.12

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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.