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Finding the Fourth Proportional to 55,161.76, 82,747.52 and 15,718

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Solution

The fourth proportional to 55,161.76, 82,747.52 and 15,718 is: 23,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,161.76 : 82,747.52 = 15,718 : x
  2. Step 2: Convert to fraction form
    55,161.76/82,747.52 = 15,718/x
  3. Step 3: Cross multiply
    55,161.76x = 82,747.52 × 15,718
  4. Step 4: Simplify right side
    55,161.76x = 1,300,625,519.36
  5. Step 5: Solve for x
    x = 1,300,625,519.36/55,161.76
  6. Step 6: Final answer
    x = 23,578.39

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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.