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Finding the Fourth Proportional to 33,980.10, 46,892.85 and 19,830.21

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Solution

The fourth proportional to 33,980.10, 46,892.85 and 19,830.21 is: 27,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,980.10 : 46,892.85 = 19,830.21 : x
  2. Step 2: Convert to fraction form
    33,980.10/46,892.85 = 19,830.21/x
  3. Step 3: Cross multiply
    33,980.10x = 46,892.85 × 19,830.21
  4. Step 4: Simplify right side
    33,980.10x = 929,895,063.00
  5. Step 5: Solve for x
    x = 929,895,063.00/33,980.10
  6. Step 6: Final answer
    x = 27,365.87

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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.