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Finding the Fourth Proportional to 74,563.46, 102,880.68 and 54,431.30

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Solution

The fourth proportional to 74,563.46, 102,880.68 and 54,431.30 is: 75,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,563.46 : 102,880.68 = 54,431.30 : x
  2. Step 2: Convert to fraction form
    74,563.46/102,880.68 = 54,431.30/x
  3. Step 3: Cross multiply
    74,563.46x = 102,880.68 × 54,431.30
  4. Step 4: Simplify right side
    74,563.46x = 5,599,929,157.28
  5. Step 5: Solve for x
    x = 5,599,929,157.28/74,563.46
  6. Step 6: Final answer
    x = 75,102.86

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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.