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Finding the Fourth Proportional to 30,692.88, 46,039.18 and 8,506.19

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Solution

The fourth proportional to 30,692.88, 46,039.18 and 8,506.19 is: 12,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,692.88 : 46,039.18 = 8,506.19 : x
  2. Step 2: Convert to fraction form
    30,692.88/46,039.18 = 8,506.19/x
  3. Step 3: Cross multiply
    30,692.88x = 46,039.18 × 8,506.19
  4. Step 4: Simplify right side
    30,692.88x = 391,618,012.52
  5. Step 5: Solve for x
    x = 391,618,012.52/30,692.88
  6. Step 6: Final answer
    x = 12,759.25

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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.