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Finding the Fourth Proportional to 31,682.16, 43,719.48 and 17,534.16

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Solution

The fourth proportional to 31,682.16, 43,719.48 and 17,534.16 is: 24,196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682.16 : 43,719.48 = 17,534.16 : x
  2. Step 2: Convert to fraction form
    31,682.16/43,719.48 = 17,534.16/x
  3. Step 3: Cross multiply
    31,682.16x = 43,719.48 × 17,534.16
  4. Step 4: Simplify right side
    31,682.16x = 766,584,357.44
  5. Step 5: Solve for x
    x = 766,584,357.44/31,682.16
  6. Step 6: Final answer
    x = 24,196.09

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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.