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Finding the Fourth Proportional to 37,100, 55,650 and 12,476

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Solution

The fourth proportional to 37,100, 55,650 and 12,476 is: 18,714

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,100 : 55,650 = 12,476 : x
  2. Step 2: Convert to fraction form
    37,100/55,650 = 12,476/x
  3. Step 3: Cross multiply
    37,100x = 55,650 × 12,476
  4. Step 4: Simplify right side
    37,100x = 694,289,400
  5. Step 5: Solve for x
    x = 694,289,400/37,100
  6. Step 6: Final answer
    x = 18,714

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.