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Finding the Fourth Proportional to 54,412.08, 75,092.39 and 30,214.29

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Solution

The fourth proportional to 54,412.08, 75,092.39 and 30,214.29 is: 41,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,412.08 : 75,092.39 = 30,214.29 : x
  2. Step 2: Convert to fraction form
    54,412.08/75,092.39 = 30,214.29/x
  3. Step 3: Cross multiply
    54,412.08x = 75,092.39 × 30,214.29
  4. Step 4: Simplify right side
    54,412.08x = 2,268,863,097.18
  5. Step 5: Solve for x
    x = 2,268,863,097.18/54,412.08
  6. Step 6: Final answer
    x = 41,697.78

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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.