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Finding the Fourth Proportional to 31,257.34, 46,839 and 12,518.80

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Solution

The fourth proportional to 31,257.34, 46,839 and 12,518.80 is: 18,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,257.34 : 46,839 = 12,518.80 : x
  2. Step 2: Convert to fraction form
    31,257.34/46,839 = 12,518.80/x
  3. Step 3: Cross multiply
    31,257.34x = 46,839 × 12,518.80
  4. Step 4: Simplify right side
    31,257.34x = 586,368,073.20
  5. Step 5: Solve for x
    x = 586,368,073.20/31,257.34
  6. Step 6: Final answer
    x = 18,759.37

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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.