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Finding the Fourth Proportional to 30,858.42, 46,292.49 and 11,141.82

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Solution

The fourth proportional to 30,858.42, 46,292.49 and 11,141.82 is: 16,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.42 : 46,292.49 = 11,141.82 : x
  2. Step 2: Convert to fraction form
    30,858.42/46,292.49 = 11,141.82/x
  3. Step 3: Cross multiply
    30,858.42x = 46,292.49 × 11,141.82
  4. Step 4: Simplify right side
    30,858.42x = 515,782,590.93
  5. Step 5: Solve for x
    x = 515,782,590.93/30,858.42
  6. Step 6: Final answer
    x = 16,714.48

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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.