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Finding the Fourth Proportional to 35,082.64, 48,397.68 and 20,170

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Solution

The fourth proportional to 35,082.64, 48,397.68 and 20,170 is: 27,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,082.64 : 48,397.68 = 20,170 : x
  2. Step 2: Convert to fraction form
    35,082.64/48,397.68 = 20,170/x
  3. Step 3: Cross multiply
    35,082.64x = 48,397.68 × 20,170
  4. Step 4: Simplify right side
    35,082.64x = 976,181,205.60
  5. Step 5: Solve for x
    x = 976,181,205.60/35,082.64
  6. Step 6: Final answer
    x = 27,825.19

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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.