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Finding the Fourth Proportional to 76,504.91, 114,757.36 and 23,196.78

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Solution

The fourth proportional to 76,504.91, 114,757.36 and 23,196.78 is: 34,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,504.91 : 114,757.36 = 23,196.78 : x
  2. Step 2: Convert to fraction form
    76,504.91/114,757.36 = 23,196.78/x
  3. Step 3: Cross multiply
    76,504.91x = 114,757.36 × 23,196.78
  4. Step 4: Simplify right side
    76,504.91x = 2,662,001,175.31
  5. Step 5: Solve for x
    x = 2,662,001,175.31/76,504.91
  6. Step 6: Final answer
    x = 34,795.17

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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.