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Finding the Fourth Proportional to 121,755.84, 182,633.14 and 33,009.20

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Solution

The fourth proportional to 121,755.84, 182,633.14 and 33,009.20 is: 49,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,755.84 : 182,633.14 = 33,009.20 : x
  2. Step 2: Convert to fraction form
    121,755.84/182,633.14 = 33,009.20/x
  3. Step 3: Cross multiply
    121,755.84x = 182,633.14 × 33,009.20
  4. Step 4: Simplify right side
    121,755.84x = 6,028,573,844.89
  5. Step 5: Solve for x
    x = 6,028,573,844.89/121,755.84
  6. Step 6: Final answer
    x = 49,513.63

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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.