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Finding the Fourth Proportional to 80,412.34, 110,896.40 and 50,200.48

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Solution

The fourth proportional to 80,412.34, 110,896.40 and 50,200.48 is: 69,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,412.34 : 110,896.40 = 50,200.48 : x
  2. Step 2: Convert to fraction form
    80,412.34/110,896.40 = 50,200.48/x
  3. Step 3: Cross multiply
    80,412.34x = 110,896.40 × 50,200.48
  4. Step 4: Simplify right side
    80,412.34x = 5,567,052,510.27
  5. Step 5: Solve for x
    x = 5,567,052,510.27/80,412.34
  6. Step 6: Final answer
    x = 69,231.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.