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Finding the Fourth Proportional to 77,771.20, 116,560.80 and 52,811.20

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Solution

The fourth proportional to 77,771.20, 116,560.80 and 52,811.20 is: 79,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,771.20 : 116,560.80 = 52,811.20 : x
  2. Step 2: Convert to fraction form
    77,771.20/116,560.80 = 52,811.20/x
  3. Step 3: Cross multiply
    77,771.20x = 116,560.80 × 52,811.20
  4. Step 4: Simplify right side
    77,771.20x = 6,155,715,720.96
  5. Step 5: Solve for x
    x = 6,155,715,720.96/77,771.20
  6. Step 6: Final answer
    x = 79,151.61

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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.