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Finding the Fourth Proportional to 37,149.50, 55,732.89 and 12,525.50

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Solution

The fourth proportional to 37,149.50, 55,732.89 and 12,525.50 is: 18,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,149.50 : 55,732.89 = 12,525.50 : x
  2. Step 2: Convert to fraction form
    37,149.50/55,732.89 = 12,525.50/x
  3. Step 3: Cross multiply
    37,149.50x = 55,732.89 × 12,525.50
  4. Step 4: Simplify right side
    37,149.50x = 698,082,313.70
  5. Step 5: Solve for x
    x = 698,082,313.70/37,149.50
  6. Step 6: Final answer
    x = 18,791.16

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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.