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Finding the Fourth Proportional to 31,486.27, 43,454.12 and 23,514.65

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Solution

The fourth proportional to 31,486.27, 43,454.12 and 23,514.65 is: 32,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,486.27 : 43,454.12 = 23,514.65 : x
  2. Step 2: Convert to fraction form
    31,486.27/43,454.12 = 23,514.65/x
  3. Step 3: Cross multiply
    31,486.27x = 43,454.12 × 23,514.65
  4. Step 4: Simplify right side
    31,486.27x = 1,021,808,627.67
  5. Step 5: Solve for x
    x = 1,021,808,627.67/31,486.27
  6. Step 6: Final answer
    x = 32,452.51

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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.