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Finding the Fourth Proportional to 117,049.82, 175,579.73 and 45,987.84

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Solution

The fourth proportional to 117,049.82, 175,579.73 and 45,987.84 is: 68,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,049.82 : 175,579.73 = 45,987.84 : x
  2. Step 2: Convert to fraction form
    117,049.82/175,579.73 = 45,987.84/x
  3. Step 3: Cross multiply
    117,049.82x = 175,579.73 × 45,987.84
  4. Step 4: Simplify right side
    117,049.82x = 8,074,532,300.54
  5. Step 5: Solve for x
    x = 8,074,532,300.54/117,049.82
  6. Step 6: Final answer
    x = 68,983.73

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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.