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Finding the Fourth Proportional to 30,311.64, 41,796.63 and 20,753.10

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Solution

The fourth proportional to 30,311.64, 41,796.63 and 20,753.10 is: 28,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311.64 : 41,796.63 = 20,753.10 : x
  2. Step 2: Convert to fraction form
    30,311.64/41,796.63 = 20,753.10/x
  3. Step 3: Cross multiply
    30,311.64x = 41,796.63 × 20,753.10
  4. Step 4: Simplify right side
    30,311.64x = 867,409,642.05
  5. Step 5: Solve for x
    x = 867,409,642.05/30,311.64
  6. Step 6: Final answer
    x = 28,616.39

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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.