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Finding the Fourth Proportional to 55,142.65, 82,748 and 25,554.97

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Solution

The fourth proportional to 55,142.65, 82,748 and 25,554.97 is: 38,348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,142.65 : 82,748 = 25,554.97 : x
  2. Step 2: Convert to fraction form
    55,142.65/82,748 = 25,554.97/x
  3. Step 3: Cross multiply
    55,142.65x = 82,748 × 25,554.97
  4. Step 4: Simplify right side
    55,142.65x = 2,114,622,657.56
  5. Step 5: Solve for x
    x = 2,114,622,657.56/55,142.65
  6. Step 6: Final answer
    x = 38,348.22

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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.