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Finding the Fourth Proportional to 37,129.14, 55,692.81 and 10,834.11

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Solution

The fourth proportional to 37,129.14, 55,692.81 and 10,834.11 is: 16,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,129.14 : 55,692.81 = 10,834.11 : x
  2. Step 2: Convert to fraction form
    37,129.14/55,692.81 = 10,834.11/x
  3. Step 3: Cross multiply
    37,129.14x = 55,692.81 × 10,834.11
  4. Step 4: Simplify right side
    37,129.14x = 603,382,029.75
  5. Step 5: Solve for x
    x = 603,382,029.75/37,129.14
  6. Step 6: Final answer
    x = 16,250.90

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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.