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Finding the Fourth Proportional to 55,940.74, 83,911.11 and 14,384.50

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Solution

The fourth proportional to 55,940.74, 83,911.11 and 14,384.50 is: 21,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,940.74 : 83,911.11 = 14,384.50 : x
  2. Step 2: Convert to fraction form
    55,940.74/83,911.11 = 14,384.50/x
  3. Step 3: Cross multiply
    55,940.74x = 83,911.11 × 14,384.50
  4. Step 4: Simplify right side
    55,940.74x = 1,207,019,361.80
  5. Step 5: Solve for x
    x = 1,207,019,361.80/55,940.74
  6. Step 6: Final answer
    x = 21,576.75

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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.