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Finding the Fourth Proportional to 30,769.77, 42,434.10 and 20,165.25

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Solution

The fourth proportional to 30,769.77, 42,434.10 and 20,165.25 is: 27,809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.77 : 42,434.10 = 20,165.25 : x
  2. Step 2: Convert to fraction form
    30,769.77/42,434.10 = 20,165.25/x
  3. Step 3: Cross multiply
    30,769.77x = 42,434.10 × 20,165.25
  4. Step 4: Simplify right side
    30,769.77x = 855,694,235.03
  5. Step 5: Solve for x
    x = 855,694,235.03/30,769.77
  6. Step 6: Final answer
    x = 27,809.58

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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.