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Finding the Fourth Proportional to 31,199.94, 46,770.39 and 10,408.50

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Solution

The fourth proportional to 31,199.94, 46,770.39 and 10,408.50 is: 15,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,199.94 : 46,770.39 = 10,408.50 : x
  2. Step 2: Convert to fraction form
    31,199.94/46,770.39 = 10,408.50/x
  3. Step 3: Cross multiply
    31,199.94x = 46,770.39 × 10,408.50
  4. Step 4: Simplify right side
    31,199.94x = 486,809,604.32
  5. Step 5: Solve for x
    x = 486,809,604.32/31,199.94
  6. Step 6: Final answer
    x = 15,602.90

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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.