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Finding the Fourth Proportional to 57,344.50, 79,135.68 and 32,194

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Solution

The fourth proportional to 57,344.50, 79,135.68 and 32,194 is: 44,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,344.50 : 79,135.68 = 32,194 : x
  2. Step 2: Convert to fraction form
    57,344.50/79,135.68 = 32,194/x
  3. Step 3: Cross multiply
    57,344.50x = 79,135.68 × 32,194
  4. Step 4: Simplify right side
    57,344.50x = 2,547,694,081.92
  5. Step 5: Solve for x
    x = 2,547,694,081.92/57,344.50
  6. Step 6: Final answer
    x = 44,427.87

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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.