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Finding the Fourth Proportional to 51,274.60, 76,829.10 and 29,021.80

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Solution

The fourth proportional to 51,274.60, 76,829.10 and 29,021.80 is: 43,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,274.60 : 76,829.10 = 29,021.80 : x
  2. Step 2: Convert to fraction form
    51,274.60/76,829.10 = 29,021.80/x
  3. Step 3: Cross multiply
    51,274.60x = 76,829.10 × 29,021.80
  4. Step 4: Simplify right side
    51,274.60x = 2,229,718,774.38
  5. Step 5: Solve for x
    x = 2,229,718,774.38/51,274.60
  6. Step 6: Final answer
    x = 43,485.83

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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.