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Finding the Fourth Proportional to 30,786.68, 42,465.37 and 21,226.97

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Solution

The fourth proportional to 30,786.68, 42,465.37 and 21,226.97 is: 29,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,786.68 : 42,465.37 = 21,226.97 : x
  2. Step 2: Convert to fraction form
    30,786.68/42,465.37 = 21,226.97/x
  3. Step 3: Cross multiply
    30,786.68x = 42,465.37 × 21,226.97
  4. Step 4: Simplify right side
    30,786.68x = 901,411,135.03
  5. Step 5: Solve for x
    x = 901,411,135.03/30,786.68
  6. Step 6: Final answer
    x = 29,279.26

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