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Finding the Fourth Proportional to 58,241.48, 80,350.44 and 32,742

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Solution

The fourth proportional to 58,241.48, 80,350.44 and 32,742 is: 45,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,241.48 : 80,350.44 = 32,742 : x
  2. Step 2: Convert to fraction form
    58,241.48/80,350.44 = 32,742/x
  3. Step 3: Cross multiply
    58,241.48x = 80,350.44 × 32,742
  4. Step 4: Simplify right side
    58,241.48x = 2,630,834,106.48
  5. Step 5: Solve for x
    x = 2,630,834,106.48/58,241.48
  6. Step 6: Final answer
    x = 45,171.14

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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.