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Finding the Fourth Proportional to 36,222.50, 54,338.82 and 34,230.50

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Solution

The fourth proportional to 36,222.50, 54,338.82 and 34,230.50 is: 51,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,222.50 : 54,338.82 = 34,230.50 : x
  2. Step 2: Convert to fraction form
    36,222.50/54,338.82 = 34,230.50/x
  3. Step 3: Cross multiply
    36,222.50x = 54,338.82 × 34,230.50
  4. Step 4: Simplify right side
    36,222.50x = 1,860,044,978.01
  5. Step 5: Solve for x
    x = 1,860,044,978.01/36,222.50
  6. Step 6: Final answer
    x = 51,350.54

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1.5x scale

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.