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Finding the Fourth Proportional to 30,692.44, 46,039.65 and 8,506.03

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Solution

The fourth proportional to 30,692.44, 46,039.65 and 8,506.03 is: 12,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,692.44 : 46,039.65 = 8,506.03 : x
  2. Step 2: Convert to fraction form
    30,692.44/46,039.65 = 8,506.03/x
  3. Step 3: Cross multiply
    30,692.44x = 46,039.65 × 8,506.03
  4. Step 4: Simplify right side
    30,692.44x = 391,614,644.09
  5. Step 5: Solve for x
    x = 391,614,644.09/30,692.44
  6. Step 6: Final answer
    x = 12,759.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.