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Finding the Fourth Proportional to 34,974.88, 52,191.80 and 31,236.88

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Solution

The fourth proportional to 34,974.88, 52,191.80 and 31,236.88 is: 46,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,974.88 : 52,191.80 = 31,236.88 : x
  2. Step 2: Convert to fraction form
    34,974.88/52,191.80 = 31,236.88/x
  3. Step 3: Cross multiply
    34,974.88x = 52,191.80 × 31,236.88
  4. Step 4: Simplify right side
    34,974.88x = 1,630,308,993.58
  5. Step 5: Solve for x
    x = 1,630,308,993.58/34,974.88
  6. Step 6: Final answer
    x = 46,613.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.