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Finding the Fourth Proportional to 37,165, 55,747.50 and 12,541

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Solution

The fourth proportional to 37,165, 55,747.50 and 12,541 is: 18,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,165 : 55,747.50 = 12,541 : x
  2. Step 2: Convert to fraction form
    37,165/55,747.50 = 12,541/x
  3. Step 3: Cross multiply
    37,165x = 55,747.50 × 12,541
  4. Step 4: Simplify right side
    37,165x = 699,129,397.50
  5. Step 5: Solve for x
    x = 699,129,397.50/37,165
  6. Step 6: Final answer
    x = 18,811.50

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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.