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Finding the Fourth Proportional to 51,204.60, 76,806.90 and 49,163.40

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Solution

The fourth proportional to 51,204.60, 76,806.90 and 49,163.40 is: 73,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,204.60 : 76,806.90 = 49,163.40 : x
  2. Step 2: Convert to fraction form
    51,204.60/76,806.90 = 49,163.40/x
  3. Step 3: Cross multiply
    51,204.60x = 76,806.90 × 49,163.40
  4. Step 4: Simplify right side
    51,204.60x = 3,776,088,347.46
  5. Step 5: Solve for x
    x = 3,776,088,347.46/51,204.60
  6. Step 6: Final answer
    x = 73,745.10

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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.