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Finding the Fourth Proportional to 55,369.87, 76,409.35 and 30,219.55

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Solution

The fourth proportional to 55,369.87, 76,409.35 and 30,219.55 is: 41,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,369.87 : 76,409.35 = 30,219.55 : x
  2. Step 2: Convert to fraction form
    55,369.87/76,409.35 = 30,219.55/x
  3. Step 3: Cross multiply
    55,369.87x = 76,409.35 × 30,219.55
  4. Step 4: Simplify right side
    55,369.87x = 2,309,056,172.79
  5. Step 5: Solve for x
    x = 2,309,056,172.79/55,369.87
  6. Step 6: Final answer
    x = 41,702.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.