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Finding the Fourth Proportional to 54,335.57, 74,983.21 and 30,138.23

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Solution

The fourth proportional to 54,335.57, 74,983.21 and 30,138.23 is: 41,590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,335.57 : 74,983.21 = 30,138.23 : x
  2. Step 2: Convert to fraction form
    54,335.57/74,983.21 = 30,138.23/x
  3. Step 3: Cross multiply
    54,335.57x = 74,983.21 × 30,138.23
  4. Step 4: Simplify right side
    54,335.57x = 2,259,861,341.23
  5. Step 5: Solve for x
    x = 2,259,861,341.23/54,335.57
  6. Step 6: Final answer
    x = 41,590.83

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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.