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Finding the Fourth Proportional to 35,564.36, 49,078.17 and 19,649.88

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Solution

The fourth proportional to 35,564.36, 49,078.17 and 19,649.88 is: 27,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,564.36 : 49,078.17 = 19,649.88 : x
  2. Step 2: Convert to fraction form
    35,564.36/49,078.17 = 19,649.88/x
  3. Step 3: Cross multiply
    35,564.36x = 49,078.17 × 19,649.88
  4. Step 4: Simplify right side
    35,564.36x = 964,380,151.12
  5. Step 5: Solve for x
    x = 964,380,151.12/35,564.36
  6. Step 6: Final answer
    x = 27,116.48

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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.