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Finding the Fourth Proportional to 74,241.90, 102,452.58 and 41,976

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Solution

The fourth proportional to 74,241.90, 102,452.58 and 41,976 is: 57,926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,241.90 : 102,452.58 = 41,976 : x
  2. Step 2: Convert to fraction form
    74,241.90/102,452.58 = 41,976/x
  3. Step 3: Cross multiply
    74,241.90x = 102,452.58 × 41,976
  4. Step 4: Simplify right side
    74,241.90x = 4,300,549,498.08
  5. Step 5: Solve for x
    x = 4,300,549,498.08/74,241.90
  6. Step 6: Final answer
    x = 57,926.18

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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.