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Finding the Fourth Proportional to 31,085.49, 46,647.68 and 12,617.49

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Solution

The fourth proportional to 31,085.49, 46,647.68 and 12,617.49 is: 18,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,085.49 : 46,647.68 = 12,617.49 : x
  2. Step 2: Convert to fraction form
    31,085.49/46,647.68 = 12,617.49/x
  3. Step 3: Cross multiply
    31,085.49x = 46,647.68 × 12,617.49
  4. Step 4: Simplify right side
    31,085.49x = 588,576,635.92
  5. Step 5: Solve for x
    x = 588,576,635.92/31,085.49
  6. Step 6: Final answer
    x = 18,934.13

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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.