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Finding the Fourth Proportional to 57,982, 79,415.60 and 54,577.56

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Solution

The fourth proportional to 57,982, 79,415.60 and 54,577.56 is: 74,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,982 : 79,415.60 = 54,577.56 : x
  2. Step 2: Convert to fraction form
    57,982/79,415.60 = 54,577.56/x
  3. Step 3: Cross multiply
    57,982x = 79,415.60 × 54,577.56
  4. Step 4: Simplify right side
    57,982x = 4,334,309,673.94
  5. Step 5: Solve for x
    x = 4,334,309,673.94/57,982
  6. Step 6: Final answer
    x = 74,752.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.