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Finding the Fourth Proportional to 31,073.25, 46,615.97 and 12,349.80

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Solution

The fourth proportional to 31,073.25, 46,615.97 and 12,349.80 is: 18,527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073.25 : 46,615.97 = 12,349.80 : x
  2. Step 2: Convert to fraction form
    31,073.25/46,615.97 = 12,349.80/x
  3. Step 3: Cross multiply
    31,073.25x = 46,615.97 × 12,349.80
  4. Step 4: Simplify right side
    31,073.25x = 575,697,906.31
  5. Step 5: Solve for x
    x = 575,697,906.31/31,073.25
  6. Step 6: Final answer
    x = 18,527.12

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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.