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Finding the Fourth Proportional to 49,241.64, 67,929.72 and 32,238.36

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Solution

The fourth proportional to 49,241.64, 67,929.72 and 32,238.36 is: 44,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,241.64 : 67,929.72 = 32,238.36 : x
  2. Step 2: Convert to fraction form
    49,241.64/67,929.72 = 32,238.36/x
  3. Step 3: Cross multiply
    49,241.64x = 67,929.72 × 32,238.36
  4. Step 4: Simplify right side
    49,241.64x = 2,189,942,768.06
  5. Step 5: Solve for x
    x = 2,189,942,768.06/49,241.64
  6. Step 6: Final answer
    x = 44,473.39

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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.