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Finding the Fourth Proportional to 52,823.20, 79,234.80 and 50,231.20

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Solution

The fourth proportional to 52,823.20, 79,234.80 and 50,231.20 is: 75,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,823.20 : 79,234.80 = 50,231.20 : x
  2. Step 2: Convert to fraction form
    52,823.20/79,234.80 = 50,231.20/x
  3. Step 3: Cross multiply
    52,823.20x = 79,234.80 × 50,231.20
  4. Step 4: Simplify right side
    52,823.20x = 3,980,059,085.76
  5. Step 5: Solve for x
    x = 3,980,059,085.76/52,823.20
  6. Step 6: Final answer
    x = 75,346.80

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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.