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Finding the Fourth Proportional to 37,205.76, 55,797.12 and 12,576

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Solution

The fourth proportional to 37,205.76, 55,797.12 and 12,576 is: 18,860.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205.76 : 55,797.12 = 12,576 : x
  2. Step 2: Convert to fraction form
    37,205.76/55,797.12 = 12,576/x
  3. Step 3: Cross multiply
    37,205.76x = 55,797.12 × 12,576
  4. Step 4: Simplify right side
    37,205.76x = 701,704,581.12
  5. Step 5: Solve for x
    x = 701,704,581.12/37,205.76
  6. Step 6: Final answer
    x = 18,860.11

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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.