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Finding the Fourth Proportional to 54,194.94, 74,622.87 and 47,442.78

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Solution

The fourth proportional to 54,194.94, 74,622.87 and 47,442.78 is: 65,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,194.94 : 74,622.87 = 47,442.78 : x
  2. Step 2: Convert to fraction form
    54,194.94/74,622.87 = 47,442.78/x
  3. Step 3: Cross multiply
    54,194.94x = 74,622.87 × 47,442.78
  4. Step 4: Simplify right side
    54,194.94x = 3,540,316,404.38
  5. Step 5: Solve for x
    x = 3,540,316,404.38/54,194.94
  6. Step 6: Final answer
    x = 65,325.59

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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.