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Finding the Fourth Proportional to 76,814.80, 115,195.80 and 37,346.48

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Solution

The fourth proportional to 76,814.80, 115,195.80 and 37,346.48 is: 56,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,814.80 : 115,195.80 = 37,346.48 : x
  2. Step 2: Convert to fraction form
    76,814.80/115,195.80 = 37,346.48/x
  3. Step 3: Cross multiply
    76,814.80x = 115,195.80 × 37,346.48
  4. Step 4: Simplify right side
    76,814.80x = 4,302,157,640.78
  5. Step 5: Solve for x
    x = 4,302,157,640.78/76,814.80
  6. Step 6: Final answer
    x = 56,006.88

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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.