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Finding the Fourth Proportional to 57,690.96, 79,613.64 and 31,194.96

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Solution

The fourth proportional to 57,690.96, 79,613.64 and 31,194.96 is: 43,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,690.96 : 79,613.64 = 31,194.96 : x
  2. Step 2: Convert to fraction form
    57,690.96/79,613.64 = 31,194.96/x
  3. Step 3: Cross multiply
    57,690.96x = 79,613.64 × 31,194.96
  4. Step 4: Simplify right side
    57,690.96x = 2,483,544,315.25
  5. Step 5: Solve for x
    x = 2,483,544,315.25/57,690.96
  6. Step 6: Final answer
    x = 43,049.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.