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Finding the Fourth Proportional to 43,474, 65,011.64 and 32,388.24

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Solution

The fourth proportional to 43,474, 65,011.64 and 32,388.24 is: 48,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,474 : 65,011.64 = 32,388.24 : x
  2. Step 2: Convert to fraction form
    43,474/65,011.64 = 32,388.24/x
  3. Step 3: Cross multiply
    43,474x = 65,011.64 × 32,388.24
  4. Step 4: Simplify right side
    43,474x = 2,105,612,599.11
  5. Step 5: Solve for x
    x = 2,105,612,599.11/43,474
  6. Step 6: Final answer
    x = 48,433.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.