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Finding the Fourth Proportional to 31,226.25, 46,839.42 and 12,758.25

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Solution

The fourth proportional to 31,226.25, 46,839.42 and 12,758.25 is: 19,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,226.25 : 46,839.42 = 12,758.25 : x
  2. Step 2: Convert to fraction form
    31,226.25/46,839.42 = 12,758.25/x
  3. Step 3: Cross multiply
    31,226.25x = 46,839.42 × 12,758.25
  4. Step 4: Simplify right side
    31,226.25x = 597,589,030.22
  5. Step 5: Solve for x
    x = 597,589,030.22/31,226.25
  6. Step 6: Final answer
    x = 19,137.39

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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.