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Finding the Fourth Proportional to 54,284.58, 74,911.65 and 30,085.05

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Solution

The fourth proportional to 54,284.58, 74,911.65 and 30,085.05 is: 41,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,284.58 : 74,911.65 = 30,085.05 : x
  2. Step 2: Convert to fraction form
    54,284.58/74,911.65 = 30,085.05/x
  3. Step 3: Cross multiply
    54,284.58x = 74,911.65 × 30,085.05
  4. Step 4: Simplify right side
    54,284.58x = 2,253,720,735.83
  5. Step 5: Solve for x
    x = 2,253,720,735.83/54,284.58
  6. Step 6: Final answer
    x = 41,516.78

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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.