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Finding the Fourth Proportional to 50,298.64, 69,414 and 30,158.80

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Solution

The fourth proportional to 50,298.64, 69,414 and 30,158.80 is: 41,620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,298.64 : 69,414 = 30,158.80 : x
  2. Step 2: Convert to fraction form
    50,298.64/69,414 = 30,158.80/x
  3. Step 3: Cross multiply
    50,298.64x = 69,414 × 30,158.80
  4. Step 4: Simplify right side
    50,298.64x = 2,093,442,943.20
  5. Step 5: Solve for x
    x = 2,093,442,943.20/50,298.64
  6. Step 6: Final answer
    x = 41,620.27

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