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Finding the Fourth Proportional to 31,086.30, 46,615.75 and 8,894.63

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Solution

The fourth proportional to 31,086.30, 46,615.75 and 8,894.63 is: 13,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086.30 : 46,615.75 = 8,894.63 : x
  2. Step 2: Convert to fraction form
    31,086.30/46,615.75 = 8,894.63/x
  3. Step 3: Cross multiply
    31,086.30x = 46,615.75 × 8,894.63
  4. Step 4: Simplify right side
    31,086.30x = 414,629,730.54
  5. Step 5: Solve for x
    x = 414,629,730.54/31,086.30
  6. Step 6: Final answer
    x = 13,338.02

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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.