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Finding the Fourth Proportional to 35,082.75, 48,465.42 and 30,358.83

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Solution

The fourth proportional to 35,082.75, 48,465.42 and 30,358.83 is: 41,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,082.75 : 48,465.42 = 30,358.83 : x
  2. Step 2: Convert to fraction form
    35,082.75/48,465.42 = 30,358.83/x
  3. Step 3: Cross multiply
    35,082.75x = 48,465.42 × 30,358.83
  4. Step 4: Simplify right side
    35,082.75x = 1,471,353,151.07
  5. Step 5: Solve for x
    x = 1,471,353,151.07/35,082.75
  6. Step 6: Final answer
    x = 41,939.51

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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.