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Finding the Fourth Proportional to 32,692.88, 49,039.31 and 8,068.88

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Solution

The fourth proportional to 32,692.88, 49,039.31 and 8,068.88 is: 12,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692.88 : 49,039.31 = 8,068.88 : x
  2. Step 2: Convert to fraction form
    32,692.88/49,039.31 = 8,068.88/x
  3. Step 3: Cross multiply
    32,692.88x = 49,039.31 × 8,068.88
  4. Step 4: Simplify right side
    32,692.88x = 395,692,082.65
  5. Step 5: Solve for x
    x = 395,692,082.65/32,692.88
  6. Step 6: Final answer
    x = 12,103.31

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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.