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Finding the Fourth Proportional to 110,576.75, 165,865.13 and 36,704.75

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Solution

The fourth proportional to 110,576.75, 165,865.13 and 36,704.75 is: 55,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,576.75 : 165,865.13 = 36,704.75 : x
  2. Step 2: Convert to fraction form
    110,576.75/165,865.13 = 36,704.75/x
  3. Step 3: Cross multiply
    110,576.75x = 165,865.13 × 36,704.75
  4. Step 4: Simplify right side
    110,576.75x = 6,088,038,130.37
  5. Step 5: Solve for x
    x = 6,088,038,130.37/110,576.75
  6. Step 6: Final answer
    x = 55,057.13

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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.