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Finding the Fourth Proportional to 101,777.21, 152,624.79 and 30,677.84

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Solution

The fourth proportional to 101,777.21, 152,624.79 and 30,677.84 is: 46,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,777.21 : 152,624.79 = 30,677.84 : x
  2. Step 2: Convert to fraction form
    101,777.21/152,624.79 = 30,677.84/x
  3. Step 3: Cross multiply
    101,777.21x = 152,624.79 × 30,677.84
  4. Step 4: Simplify right side
    101,777.21x = 4,682,198,696.87
  5. Step 5: Solve for x
    x = 4,682,198,696.87/101,777.21
  6. Step 6: Final answer
    x = 46,004.39

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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.