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Finding the Fourth Proportional to 54,109.60, 74,692 and 48,434.32

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Solution

The fourth proportional to 54,109.60, 74,692 and 48,434.32 is: 66,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,109.60 : 74,692 = 48,434.32 : x
  2. Step 2: Convert to fraction form
    54,109.60/74,692 = 48,434.32/x
  3. Step 3: Cross multiply
    54,109.60x = 74,692 × 48,434.32
  4. Step 4: Simplify right side
    54,109.60x = 3,617,656,229.44
  5. Step 5: Solve for x
    x = 3,617,656,229.44/54,109.60
  6. Step 6: Final answer
    x = 66,857.94

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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.