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Finding the Fourth Proportional to 76,916, 115,425.46 and 26,996.32

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Solution

The fourth proportional to 76,916, 115,425.46 and 26,996.32 is: 40,512.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,916 : 115,425.46 = 26,996.32 : x
  2. Step 2: Convert to fraction form
    76,916/115,425.46 = 26,996.32/x
  3. Step 3: Cross multiply
    76,916x = 115,425.46 × 26,996.32
  4. Step 4: Simplify right side
    76,916x = 3,116,062,654.31
  5. Step 5: Solve for x
    x = 3,116,062,654.31/76,916
  6. Step 6: Final answer
    x = 40,512.54

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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.