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Finding the Fourth Proportional to 31,612.40, 43,625.76 and 18,188

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Solution

The fourth proportional to 31,612.40, 43,625.76 and 18,188 is: 25,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,612.40 : 43,625.76 = 18,188 : x
  2. Step 2: Convert to fraction form
    31,612.40/43,625.76 = 18,188/x
  3. Step 3: Cross multiply
    31,612.40x = 43,625.76 × 18,188
  4. Step 4: Simplify right side
    31,612.40x = 793,465,322.88
  5. Step 5: Solve for x
    x = 793,465,322.88/31,612.40
  6. Step 6: Final answer
    x = 25,099.81

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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.