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Finding the Fourth Proportional to 76,606.44, 114,910.16 and 26,687.48

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Solution

The fourth proportional to 76,606.44, 114,910.16 and 26,687.48 is: 40,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,606.44 : 114,910.16 = 26,687.48 : x
  2. Step 2: Convert to fraction form
    76,606.44/114,910.16 = 26,687.48/x
  3. Step 3: Cross multiply
    76,606.44x = 114,910.16 × 26,687.48
  4. Step 4: Simplify right side
    76,606.44x = 3,066,662,596.80
  5. Step 5: Solve for x
    x = 3,066,662,596.80/76,606.44
  6. Step 6: Final answer
    x = 40,031.39

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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.