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Finding the Fourth Proportional to 30,786.67, 42,465.37 and 21,226.96

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Solution

The fourth proportional to 30,786.67, 42,465.37 and 21,226.96 is: 29,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,786.67 : 42,465.37 = 21,226.96 : x
  2. Step 2: Convert to fraction form
    30,786.67/42,465.37 = 21,226.96/x
  3. Step 3: Cross multiply
    30,786.67x = 42,465.37 × 21,226.96
  4. Step 4: Simplify right side
    30,786.67x = 901,410,710.38
  5. Step 5: Solve for x
    x = 901,410,710.38/30,786.67
  6. Step 6: Final answer
    x = 29,279.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.