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Finding the Fourth Proportional to 50,494.64, 69,682.88 and 29,286.48

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Solution

The fourth proportional to 50,494.64, 69,682.88 and 29,286.48 is: 40,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,494.64 : 69,682.88 = 29,286.48 : x
  2. Step 2: Convert to fraction form
    50,494.64/69,682.88 = 29,286.48/x
  3. Step 3: Cross multiply
    50,494.64x = 69,682.88 × 29,286.48
  4. Step 4: Simplify right side
    50,494.64x = 2,040,766,271.46
  5. Step 5: Solve for x
    x = 2,040,766,271.46/50,494.64
  6. Step 6: Final answer
    x = 40,415.50

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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.