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Finding the Fourth Proportional to 31,257, 43,134.71 and 17,109.86

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Solution

The fourth proportional to 31,257, 43,134.71 and 17,109.86 is: 23,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,257 : 43,134.71 = 17,109.86 : x
  2. Step 2: Convert to fraction form
    31,257/43,134.71 = 17,109.86/x
  3. Step 3: Cross multiply
    31,257x = 43,134.71 × 17,109.86
  4. Step 4: Simplify right side
    31,257x = 738,028,548.02
  5. Step 5: Solve for x
    x = 738,028,548.02/31,257
  6. Step 6: Final answer
    x = 23,611.62

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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.