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Finding the Fourth Proportional to 35,712.56, 49,282.44 and 19,796.96

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Solution

The fourth proportional to 35,712.56, 49,282.44 and 19,796.96 is: 27,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712.56 : 49,282.44 = 19,796.96 : x
  2. Step 2: Convert to fraction form
    35,712.56/49,282.44 = 19,796.96/x
  3. Step 3: Cross multiply
    35,712.56x = 49,282.44 × 19,796.96
  4. Step 4: Simplify right side
    35,712.56x = 975,642,493.38
  5. Step 5: Solve for x
    x = 975,642,493.38/35,712.56
  6. Step 6: Final answer
    x = 27,319.31

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Why These Related Problems?

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