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Finding the Fourth Proportional to 31,652.25, 43,676.32 and 17,503.17

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Solution

The fourth proportional to 31,652.25, 43,676.32 and 17,503.17 is: 24,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.25 : 43,676.32 = 17,503.17 : x
  2. Step 2: Convert to fraction form
    31,652.25/43,676.32 = 17,503.17/x
  3. Step 3: Cross multiply
    31,652.25x = 43,676.32 × 17,503.17
  4. Step 4: Simplify right side
    31,652.25x = 764,474,053.93
  5. Step 5: Solve for x
    x = 764,474,053.93/31,652.25
  6. Step 6: Final answer
    x = 24,152.28

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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.