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Finding the Fourth Proportional to 31,878.12, 43,992.87 and 17,538.54

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Solution

The fourth proportional to 31,878.12, 43,992.87 and 17,538.54 is: 24,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.12 : 43,992.87 = 17,538.54 : x
  2. Step 2: Convert to fraction form
    31,878.12/43,992.87 = 17,538.54/x
  3. Step 3: Cross multiply
    31,878.12x = 43,992.87 × 17,538.54
  4. Step 4: Simplify right side
    31,878.12x = 771,570,710.21
  5. Step 5: Solve for x
    x = 771,570,710.21/31,878.12
  6. Step 6: Final answer
    x = 24,203.77

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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.