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Finding the Fourth Proportional to 30,494.72, 42,082.44 and 17,065.82

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Solution

The fourth proportional to 30,494.72, 42,082.44 and 17,065.82 is: 23,550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.72 : 42,082.44 = 17,065.82 : x
  2. Step 2: Convert to fraction form
    30,494.72/42,082.44 = 17,065.82/x
  3. Step 3: Cross multiply
    30,494.72x = 42,082.44 × 17,065.82
  4. Step 4: Simplify right side
    30,494.72x = 718,171,346.20
  5. Step 5: Solve for x
    x = 718,171,346.20/30,494.72
  6. Step 6: Final answer
    x = 23,550.68

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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.