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Finding the Fourth Proportional to 54,082.40, 74,632.92 and 30,209.42

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Solution

The fourth proportional to 54,082.40, 74,632.92 and 30,209.42 is: 41,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,082.40 : 74,632.92 = 30,209.42 : x
  2. Step 2: Convert to fraction form
    54,082.40/74,632.92 = 30,209.42/x
  3. Step 3: Cross multiply
    54,082.40x = 74,632.92 × 30,209.42
  4. Step 4: Simplify right side
    54,082.40x = 2,254,617,226.11
  5. Step 5: Solve for x
    x = 2,254,617,226.11/54,082.40
  6. Step 6: Final answer
    x = 41,688.56

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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.