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Finding the Fourth Proportional to 31,094.37, 46,634.67 and 8,907.66

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Solution

The fourth proportional to 31,094.37, 46,634.67 and 8,907.66 is: 13,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.37 : 46,634.67 = 8,907.66 : x
  2. Step 2: Convert to fraction form
    31,094.37/46,634.67 = 8,907.66/x
  3. Step 3: Cross multiply
    31,094.37x = 46,634.67 × 8,907.66
  4. Step 4: Simplify right side
    31,094.37x = 415,405,784.57
  5. Step 5: Solve for x
    x = 415,405,784.57/31,094.37
  6. Step 6: Final answer
    x = 13,359.52

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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.