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Finding the Fourth Proportional to 125,826, 188,739 and 32,331.75

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Solution

The fourth proportional to 125,826, 188,739 and 32,331.75 is: 48,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,826 : 188,739 = 32,331.75 : x
  2. Step 2: Convert to fraction form
    125,826/188,739 = 32,331.75/x
  3. Step 3: Cross multiply
    125,826x = 188,739 × 32,331.75
  4. Step 4: Simplify right side
    125,826x = 6,102,262,163.25
  5. Step 5: Solve for x
    x = 6,102,262,163.25/125,826
  6. Step 6: Final answer
    x = 48,497.63

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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.