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Finding the Fourth Proportional to 110,886.84, 166,448.68 and 47,738.27

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Solution

The fourth proportional to 110,886.84, 166,448.68 and 47,738.27 is: 71,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,886.84 : 166,448.68 = 47,738.27 : x
  2. Step 2: Convert to fraction form
    110,886.84/166,448.68 = 47,738.27/x
  3. Step 3: Cross multiply
    110,886.84x = 166,448.68 × 47,738.27
  4. Step 4: Simplify right side
    110,886.84x = 7,945,972,026.98
  5. Step 5: Solve for x
    x = 7,945,972,026.98/110,886.84
  6. Step 6: Final answer
    x = 71,658.39

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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.