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Finding the Fourth Proportional to 30,692.56, 46,041.45 and 8,505.94

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Solution

The fourth proportional to 30,692.56, 46,041.45 and 8,505.94 is: 12,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,692.56 : 46,041.45 = 8,505.94 : x
  2. Step 2: Convert to fraction form
    30,692.56/46,041.45 = 8,505.94/x
  3. Step 3: Cross multiply
    30,692.56x = 46,041.45 × 8,505.94
  4. Step 4: Simplify right side
    30,692.56x = 391,625,811.21
  5. Step 5: Solve for x
    x = 391,625,811.21/30,692.56
  6. Step 6: Final answer
    x = 12,759.63

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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.