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Finding the Fourth Proportional to 51,269.80, 76,847.10 and 26,300.20

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Solution

The fourth proportional to 51,269.80, 76,847.10 and 26,300.20 is: 39,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,269.80 : 76,847.10 = 26,300.20 : x
  2. Step 2: Convert to fraction form
    51,269.80/76,847.10 = 26,300.20/x
  3. Step 3: Cross multiply
    51,269.80x = 76,847.10 × 26,300.20
  4. Step 4: Simplify right side
    51,269.80x = 2,021,094,099.42
  5. Step 5: Solve for x
    x = 2,021,094,099.42/51,269.80
  6. Step 6: Final answer
    x = 39,420.75

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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.