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Finding the Fourth Proportional to 47,791.34, 71,697.72 and 16,199.54

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Solution

The fourth proportional to 47,791.34, 71,697.72 and 16,199.54 is: 24,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,791.34 : 71,697.72 = 16,199.54 : x
  2. Step 2: Convert to fraction form
    47,791.34/71,697.72 = 16,199.54/x
  3. Step 3: Cross multiply
    47,791.34x = 71,697.72 × 16,199.54
  4. Step 4: Simplify right side
    47,791.34x = 1,161,470,083.05
  5. Step 5: Solve for x
    x = 1,161,470,083.05/47,791.34
  6. Step 6: Final answer
    x = 24,302.94

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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.