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Finding the Fourth Proportional to 54,201.94, 74,801.80 and 30,328.40

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Solution

The fourth proportional to 54,201.94, 74,801.80 and 30,328.40 is: 41,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,201.94 : 74,801.80 = 30,328.40 : x
  2. Step 2: Convert to fraction form
    54,201.94/74,801.80 = 30,328.40/x
  3. Step 3: Cross multiply
    54,201.94x = 74,801.80 × 30,328.40
  4. Step 4: Simplify right side
    54,201.94x = 2,268,618,911.12
  5. Step 5: Solve for x
    x = 2,268,618,911.12/54,201.94
  6. Step 6: Final answer
    x = 41,854.94

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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.