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Finding the Fourth Proportional to 74,452, 102,743.76 and 40,918

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Solution

The fourth proportional to 74,452, 102,743.76 and 40,918 is: 56,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,452 : 102,743.76 = 40,918 : x
  2. Step 2: Convert to fraction form
    74,452/102,743.76 = 40,918/x
  3. Step 3: Cross multiply
    74,452x = 102,743.76 × 40,918
  4. Step 4: Simplify right side
    74,452x = 4,204,069,171.68
  5. Step 5: Solve for x
    x = 4,204,069,171.68/74,452
  6. Step 6: Final answer
    x = 56,466.84

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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.