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Finding the Fourth Proportional to 31,161.66, 46,714.69 and 11,435.64

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Solution

The fourth proportional to 31,161.66, 46,714.69 and 11,435.64 is: 17,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,161.66 : 46,714.69 = 11,435.64 : x
  2. Step 2: Convert to fraction form
    31,161.66/46,714.69 = 11,435.64/x
  3. Step 3: Cross multiply
    31,161.66x = 46,714.69 × 11,435.64
  4. Step 4: Simplify right side
    31,161.66x = 534,212,377.55
  5. Step 5: Solve for x
    x = 534,212,377.55/31,161.66
  6. Step 6: Final answer
    x = 17,143.26

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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.