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Finding the Fourth Proportional to 50,485.36, 69,672.84 and 27,824.30

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Solution

The fourth proportional to 50,485.36, 69,672.84 and 27,824.30 is: 38,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,485.36 : 69,672.84 = 27,824.30 : x
  2. Step 2: Convert to fraction form
    50,485.36/69,672.84 = 27,824.30/x
  3. Step 3: Cross multiply
    50,485.36x = 69,672.84 × 27,824.30
  4. Step 4: Simplify right side
    50,485.36x = 1,938,598,002.01
  5. Step 5: Solve for x
    x = 1,938,598,002.01/50,485.36
  6. Step 6: Final answer
    x = 38,399.21

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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.