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Finding the Fourth Proportional to 122,581.80, 183,850.78 and 32,625

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Solution

The fourth proportional to 122,581.80, 183,850.78 and 32,625 is: 48,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,581.80 : 183,850.78 = 32,625 : x
  2. Step 2: Convert to fraction form
    122,581.80/183,850.78 = 32,625/x
  3. Step 3: Cross multiply
    122,581.80x = 183,850.78 × 32,625
  4. Step 4: Simplify right side
    122,581.80x = 5,998,131,697.50
  5. Step 5: Solve for x
    x = 5,998,131,697.50/122,581.80
  6. Step 6: Final answer
    x = 48,931.67

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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.