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Finding the Fourth Proportional to 31,237.26, 46,855.49 and 7,544.63

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Solution

The fourth proportional to 31,237.26, 46,855.49 and 7,544.63 is: 11,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,237.26 : 46,855.49 = 7,544.63 : x
  2. Step 2: Convert to fraction form
    31,237.26/46,855.49 = 7,544.63/x
  3. Step 3: Cross multiply
    31,237.26x = 46,855.49 × 7,544.63
  4. Step 4: Simplify right side
    31,237.26x = 353,507,063.52
  5. Step 5: Solve for x
    x = 353,507,063.52/31,237.26
  6. Step 6: Final answer
    x = 11,316.84

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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.