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Finding the Fourth Proportional to 30,862, 46,283.44 and 11,138

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Solution

The fourth proportional to 30,862, 46,283.44 and 11,138 is: 16,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862 : 46,283.44 = 11,138 : x
  2. Step 2: Convert to fraction form
    30,862/46,283.44 = 11,138/x
  3. Step 3: Cross multiply
    30,862x = 46,283.44 × 11,138
  4. Step 4: Simplify right side
    30,862x = 515,504,954.72
  5. Step 5: Solve for x
    x = 515,504,954.72/30,862
  6. Step 6: Final answer
    x = 16,703.55

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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.