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Finding the Fourth Proportional to 31,076.20, 46,615.88 and 8,892.87

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Solution

The fourth proportional to 31,076.20, 46,615.88 and 8,892.87 is: 13,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076.20 : 46,615.88 = 8,892.87 : x
  2. Step 2: Convert to fraction form
    31,076.20/46,615.88 = 8,892.87/x
  3. Step 3: Cross multiply
    31,076.20x = 46,615.88 × 8,892.87
  4. Step 4: Simplify right side
    31,076.20x = 414,548,960.78
  5. Step 5: Solve for x
    x = 414,548,960.78/31,076.20
  6. Step 6: Final answer
    x = 13,339.76

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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.