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Finding the Fourth Proportional to 49,785.77, 74,692.49 and 21,708.27

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Solution

The fourth proportional to 49,785.77, 74,692.49 and 21,708.27 is: 32,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,785.77 : 74,692.49 = 21,708.27 : x
  2. Step 2: Convert to fraction form
    49,785.77/74,692.49 = 21,708.27/x
  3. Step 3: Cross multiply
    49,785.77x = 74,692.49 × 21,708.27
  4. Step 4: Simplify right side
    49,785.77x = 1,621,444,739.89
  5. Step 5: Solve for x
    x = 1,621,444,739.89/49,785.77
  6. Step 6: Final answer
    x = 32,568.44

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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.