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Finding the Fourth Proportional to 37,096.88, 51,178.68 and 21,178.16

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Solution

The fourth proportional to 37,096.88, 51,178.68 and 21,178.16 is: 29,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,096.88 : 51,178.68 = 21,178.16 : x
  2. Step 2: Convert to fraction form
    37,096.88/51,178.68 = 21,178.16/x
  3. Step 3: Cross multiply
    37,096.88x = 51,178.68 × 21,178.16
  4. Step 4: Simplify right side
    37,096.88x = 1,083,870,273.63
  5. Step 5: Solve for x
    x = 1,083,870,273.63/37,096.88
  6. Step 6: Final answer
    x = 29,217.29

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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.