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Finding the Fourth Proportional to 31,067.78, 46,576.15 and 12,339.77

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Solution

The fourth proportional to 31,067.78, 46,576.15 and 12,339.77 is: 18,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,067.78 : 46,576.15 = 12,339.77 : x
  2. Step 2: Convert to fraction form
    31,067.78/46,576.15 = 12,339.77/x
  3. Step 3: Cross multiply
    31,067.78x = 46,576.15 × 12,339.77
  4. Step 4: Simplify right side
    31,067.78x = 574,738,714.76
  5. Step 5: Solve for x
    x = 574,738,714.76/31,067.78
  6. Step 6: Final answer
    x = 18,499.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.