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Finding the Fourth Proportional to 31,653.48, 43,682.46 and 17,507.28

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Solution

The fourth proportional to 31,653.48, 43,682.46 and 17,507.28 is: 24,160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653.48 : 43,682.46 = 17,507.28 : x
  2. Step 2: Convert to fraction form
    31,653.48/43,682.46 = 17,507.28/x
  3. Step 3: Cross multiply
    31,653.48x = 43,682.46 × 17,507.28
  4. Step 4: Simplify right side
    31,653.48x = 764,761,058.31
  5. Step 5: Solve for x
    x = 764,761,058.31/31,653.48
  6. Step 6: Final answer
    x = 24,160.41

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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.