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Finding the Fourth Proportional to 52,852, 79,222.14 and 19,550.68

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Solution

The fourth proportional to 52,852, 79,222.14 and 19,550.68 is: 29,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,852 : 79,222.14 = 19,550.68 : x
  2. Step 2: Convert to fraction form
    52,852/79,222.14 = 19,550.68/x
  3. Step 3: Cross multiply
    52,852x = 79,222.14 × 19,550.68
  4. Step 4: Simplify right side
    52,852x = 1,548,846,708.06
  5. Step 5: Solve for x
    x = 1,548,846,708.06/52,852
  6. Step 6: Final answer
    x = 29,305.36

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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.