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Finding the Fourth Proportional to 31,238.25, 46,857.42 and 12,770.25

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Solution

The fourth proportional to 31,238.25, 46,857.42 and 12,770.25 is: 19,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,238.25 : 46,857.42 = 12,770.25 : x
  2. Step 2: Convert to fraction form
    31,238.25/46,857.42 = 12,770.25/x
  3. Step 3: Cross multiply
    31,238.25x = 46,857.42 × 12,770.25
  4. Step 4: Simplify right side
    31,238.25x = 598,380,967.76
  5. Step 5: Solve for x
    x = 598,380,967.76/31,238.25
  6. Step 6: Final answer
    x = 19,155.39

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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.