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Finding the Fourth Proportional to 30,538.56, 42,142.92 and 17,110.40

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Solution

The fourth proportional to 30,538.56, 42,142.92 and 17,110.40 is: 23,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.56 : 42,142.92 = 17,110.40 : x
  2. Step 2: Convert to fraction form
    30,538.56/42,142.92 = 17,110.40/x
  3. Step 3: Cross multiply
    30,538.56x = 42,142.92 × 17,110.40
  4. Step 4: Simplify right side
    30,538.56x = 721,082,218.37
  5. Step 5: Solve for x
    x = 721,082,218.37/30,538.56
  6. Step 6: Final answer
    x = 23,612.19

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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.