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Finding the Fourth Proportional to 121,762.22, 182,642.87 and 33,015.48

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Solution

The fourth proportional to 121,762.22, 182,642.87 and 33,015.48 is: 49,523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,762.22 : 182,642.87 = 33,015.48 : x
  2. Step 2: Convert to fraction form
    121,762.22/182,642.87 = 33,015.48/x
  3. Step 3: Cross multiply
    121,762.22x = 182,642.87 × 33,015.48
  4. Step 4: Simplify right side
    121,762.22x = 6,030,042,104.17
  5. Step 5: Solve for x
    x = 6,030,042,104.17/121,762.22
  6. Step 6: Final answer
    x = 49,523.09

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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.