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Finding the Fourth Proportional to 67,692.68, 101,559.78 and 30,284.24

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Solution

The fourth proportional to 67,692.68, 101,559.78 and 30,284.24 is: 45,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,692.68 : 101,559.78 = 30,284.24 : x
  2. Step 2: Convert to fraction form
    67,692.68/101,559.78 = 30,284.24/x
  3. Step 3: Cross multiply
    67,692.68x = 101,559.78 × 30,284.24
  4. Step 4: Simplify right side
    67,692.68x = 3,075,660,751.87
  5. Step 5: Solve for x
    x = 3,075,660,751.87/67,692.68
  6. Step 6: Final answer
    x = 45,435.65

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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.