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Finding the Fourth Proportional to 55,297.36, 82,946.11 and 13,744.36

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Solution

The fourth proportional to 55,297.36, 82,946.11 and 13,744.36 is: 20,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,297.36 : 82,946.11 = 13,744.36 : x
  2. Step 2: Convert to fraction form
    55,297.36/82,946.11 = 13,744.36/x
  3. Step 3: Cross multiply
    55,297.36x = 82,946.11 × 13,744.36
  4. Step 4: Simplify right side
    55,297.36x = 1,140,041,127.72
  5. Step 5: Solve for x
    x = 1,140,041,127.72/55,297.36
  6. Step 6: Final answer
    x = 20,616.56

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Why These Related Problems?

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