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Finding the Fourth Proportional to 46,863, 70,304.22 and 19,161

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Solution

The fourth proportional to 46,863, 70,304.22 and 19,161 is: 28,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,863 : 70,304.22 = 19,161 : x
  2. Step 2: Convert to fraction form
    46,863/70,304.22 = 19,161/x
  3. Step 3: Cross multiply
    46,863x = 70,304.22 × 19,161
  4. Step 4: Simplify right side
    46,863x = 1,347,099,159.42
  5. Step 5: Solve for x
    x = 1,347,099,159.42/46,863
  6. Step 6: Final answer
    x = 28,745.47

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Why These Related Problems?

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