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Finding the Fourth Proportional to 37,149, 55,732.14 and 12,525

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Solution

The fourth proportional to 37,149, 55,732.14 and 12,525 is: 18,790.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,149 : 55,732.14 = 12,525 : x
  2. Step 2: Convert to fraction form
    37,149/55,732.14 = 12,525/x
  3. Step 3: Cross multiply
    37,149x = 55,732.14 × 12,525
  4. Step 4: Simplify right side
    37,149x = 698,045,053.50
  5. Step 5: Solve for x
    x = 698,045,053.50/37,149
  6. Step 6: Final answer
    x = 18,790.41

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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.