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Finding the Fourth Proportional to 59,692.14, 82,373.41 and 32,834.64

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Solution

The fourth proportional to 59,692.14, 82,373.41 and 32,834.64 is: 45,310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,692.14 : 82,373.41 = 32,834.64 : x
  2. Step 2: Convert to fraction form
    59,692.14/82,373.41 = 32,834.64/x
  3. Step 3: Cross multiply
    59,692.14x = 82,373.41 × 32,834.64
  4. Step 4: Simplify right side
    59,692.14x = 2,704,701,262.92
  5. Step 5: Solve for x
    x = 2,704,701,262.92/59,692.14
  6. Step 6: Final answer
    x = 45,310.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.