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Finding the Fourth Proportional to 77,446.33, 116,181.64 and 33,073.31

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Solution

The fourth proportional to 77,446.33, 116,181.64 and 33,073.31 is: 49,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,446.33 : 116,181.64 = 33,073.31 : x
  2. Step 2: Convert to fraction form
    77,446.33/116,181.64 = 33,073.31/x
  3. Step 3: Cross multiply
    77,446.33x = 116,181.64 × 33,073.31
  4. Step 4: Simplify right side
    77,446.33x = 3,842,511,727.82
  5. Step 5: Solve for x
    x = 3,842,511,727.82/77,446.33
  6. Step 6: Final answer
    x = 49,615.16

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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.