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Finding the Fourth Proportional to 35,714.90, 49,287.24 and 19,581.14

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Solution

The fourth proportional to 35,714.90, 49,287.24 and 19,581.14 is: 27,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.90 : 49,287.24 = 19,581.14 : x
  2. Step 2: Convert to fraction form
    35,714.90/49,287.24 = 19,581.14/x
  3. Step 3: Cross multiply
    35,714.90x = 49,287.24 × 19,581.14
  4. Step 4: Simplify right side
    35,714.90x = 965,100,346.65
  5. Step 5: Solve for x
    x = 965,100,346.65/35,714.90
  6. Step 6: Final answer
    x = 27,022.34

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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.