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Finding the Fourth Proportional to 31,137.76, 46,716 and 14,507.68

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Solution

The fourth proportional to 31,137.76, 46,716 and 14,507.68 is: 21,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137.76 : 46,716 = 14,507.68 : x
  2. Step 2: Convert to fraction form
    31,137.76/46,716 = 14,507.68/x
  3. Step 3: Cross multiply
    31,137.76x = 46,716 × 14,507.68
  4. Step 4: Simplify right side
    31,137.76x = 677,740,778.88
  5. Step 5: Solve for x
    x = 677,740,778.88/31,137.76
  6. Step 6: Final answer
    x = 21,765.88

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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.