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Finding the Fourth Proportional to 32,654.78, 49,004.02 and 11,878.28

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Solution

The fourth proportional to 32,654.78, 49,004.02 and 11,878.28 is: 17,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,654.78 : 49,004.02 = 11,878.28 : x
  2. Step 2: Convert to fraction form
    32,654.78/49,004.02 = 11,878.28/x
  3. Step 3: Cross multiply
    32,654.78x = 49,004.02 × 11,878.28
  4. Step 4: Simplify right side
    32,654.78x = 582,083,470.69
  5. Step 5: Solve for x
    x = 582,083,470.69/32,654.78
  6. Step 6: Final answer
    x = 17,825.37

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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.