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Finding the Fourth Proportional to 49,399.68, 74,082.24 and 30,812.16

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Solution

The fourth proportional to 49,399.68, 74,082.24 and 30,812.16 is: 46,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,399.68 : 74,082.24 = 30,812.16 : x
  2. Step 2: Convert to fraction form
    49,399.68/74,082.24 = 30,812.16/x
  3. Step 3: Cross multiply
    49,399.68x = 74,082.24 × 30,812.16
  4. Step 4: Simplify right side
    49,399.68x = 2,282,633,832.04
  5. Step 5: Solve for x
    x = 2,282,633,832.04/49,399.68
  6. Step 6: Final answer
    x = 46,207.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.