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Finding the Fourth Proportional to 76,323.27, 114,550.79 and 52,966.11

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Solution

The fourth proportional to 76,323.27, 114,550.79 and 52,966.11 is: 79,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,323.27 : 114,550.79 = 52,966.11 : x
  2. Step 2: Convert to fraction form
    76,323.27/114,550.79 = 52,966.11/x
  3. Step 3: Cross multiply
    76,323.27x = 114,550.79 × 52,966.11
  4. Step 4: Simplify right side
    76,323.27x = 6,067,309,478.90
  5. Step 5: Solve for x
    x = 6,067,309,478.90/76,323.27
  6. Step 6: Final answer
    x = 79,494.88

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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.