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Finding the Fourth Proportional to 76,992, 115,534.08 and 33,216

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Solution

The fourth proportional to 76,992, 115,534.08 and 33,216 is: 49,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,992 : 115,534.08 = 33,216 : x
  2. Step 2: Convert to fraction form
    76,992/115,534.08 = 33,216/x
  3. Step 3: Cross multiply
    76,992x = 115,534.08 × 33,216
  4. Step 4: Simplify right side
    76,992x = 3,837,580,001.28
  5. Step 5: Solve for x
    x = 3,837,580,001.28/76,992
  6. Step 6: Final answer
    x = 49,843.88

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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.