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Finding the Fourth Proportional to 51,172.08, 76,780.38 and 17,916

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Solution

The fourth proportional to 51,172.08, 76,780.38 and 17,916 is: 26,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,172.08 : 76,780.38 = 17,916 : x
  2. Step 2: Convert to fraction form
    51,172.08/76,780.38 = 17,916/x
  3. Step 3: Cross multiply
    51,172.08x = 76,780.38 × 17,916
  4. Step 4: Simplify right side
    51,172.08x = 1,375,597,288.08
  5. Step 5: Solve for x
    x = 1,375,597,288.08/51,172.08
  6. Step 6: Final answer
    x = 26,881.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.