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Finding the Fourth Proportional to 77,682.20, 116,231.70 and 51,438.20

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Solution

The fourth proportional to 77,682.20, 116,231.70 and 51,438.20 is: 76,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,682.20 : 116,231.70 = 51,438.20 : x
  2. Step 2: Convert to fraction form
    77,682.20/116,231.70 = 51,438.20/x
  3. Step 3: Cross multiply
    77,682.20x = 116,231.70 × 51,438.20
  4. Step 4: Simplify right side
    77,682.20x = 5,978,749,430.94
  5. Step 5: Solve for x
    x = 5,978,749,430.94/77,682.20
  6. Step 6: Final answer
    x = 76,964.21

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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.