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Finding the Fourth Proportional to 54,812.97, 75,643.07 and 30,938.22

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Solution

The fourth proportional to 54,812.97, 75,643.07 and 30,938.22 is: 42,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,812.97 : 75,643.07 = 30,938.22 : x
  2. Step 2: Convert to fraction form
    54,812.97/75,643.07 = 30,938.22/x
  3. Step 3: Cross multiply
    54,812.97x = 75,643.07 × 30,938.22
  4. Step 4: Simplify right side
    54,812.97x = 2,340,261,786.44
  5. Step 5: Solve for x
    x = 2,340,261,786.44/54,812.97
  6. Step 6: Final answer
    x = 42,695.40

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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.