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Finding the Fourth Proportional to 50,851.67, 76,270.80 and 13,414.67

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Solution

The fourth proportional to 50,851.67, 76,270.80 and 13,414.67 is: 20,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,851.67 : 76,270.80 = 13,414.67 : x
  2. Step 2: Convert to fraction form
    50,851.67/76,270.80 = 13,414.67/x
  3. Step 3: Cross multiply
    50,851.67x = 76,270.80 × 13,414.67
  4. Step 4: Simplify right side
    50,851.67x = 1,023,147,612.64
  5. Step 5: Solve for x
    x = 1,023,147,612.64/50,851.67
  6. Step 6: Final answer
    x = 20,120.24

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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.