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Finding the Fourth Proportional to 55,297.87, 82,946.76 and 13,744.87

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Solution

The fourth proportional to 55,297.87, 82,946.76 and 13,744.87 is: 20,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,297.87 : 82,946.76 = 13,744.87 : x
  2. Step 2: Convert to fraction form
    55,297.87/82,946.76 = 13,744.87/x
  3. Step 3: Cross multiply
    55,297.87x = 82,946.76 × 13,744.87
  4. Step 4: Simplify right side
    55,297.87x = 1,140,092,433.12
  5. Step 5: Solve for x
    x = 1,140,092,433.12/55,297.87
  6. Step 6: Final answer
    x = 20,617.29

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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.