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Finding the Fourth Proportional to 31,271.95, 46,910.36 and 9,085.65

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Solution

The fourth proportional to 31,271.95, 46,910.36 and 9,085.65 is: 13,629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,271.95 : 46,910.36 = 9,085.65 : x
  2. Step 2: Convert to fraction form
    31,271.95/46,910.36 = 9,085.65/x
  3. Step 3: Cross multiply
    31,271.95x = 46,910.36 × 9,085.65
  4. Step 4: Simplify right side
    31,271.95x = 426,211,112.33
  5. Step 5: Solve for x
    x = 426,211,112.33/31,271.95
  6. Step 6: Final answer
    x = 13,629.18

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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.