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Finding the Fourth Proportional to 54,119.16, 74,684.16 and 30,245.82

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Solution

The fourth proportional to 54,119.16, 74,684.16 and 30,245.82 is: 41,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,119.16 : 74,684.16 = 30,245.82 : x
  2. Step 2: Convert to fraction form
    54,119.16/74,684.16 = 30,245.82/x
  3. Step 3: Cross multiply
    54,119.16x = 74,684.16 × 30,245.82
  4. Step 4: Simplify right side
    54,119.16x = 2,258,883,660.21
  5. Step 5: Solve for x
    x = 2,258,883,660.21/54,119.16
  6. Step 6: Final answer
    x = 41,739.07

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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.