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Finding the Fourth Proportional to 48,204, 72,231.36 and 33,442.08

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Solution

The fourth proportional to 48,204, 72,231.36 and 33,442.08 is: 50,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,204 : 72,231.36 = 33,442.08 : x
  2. Step 2: Convert to fraction form
    48,204/72,231.36 = 33,442.08/x
  3. Step 3: Cross multiply
    48,204x = 72,231.36 × 33,442.08
  4. Step 4: Simplify right side
    48,204x = 2,415,566,919.63
  5. Step 5: Solve for x
    x = 2,415,566,919.63/48,204
  6. Step 6: Final answer
    x = 50,111.34

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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.