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Finding the Fourth Proportional to 74,087.78, 102,257.79 and 47,224.94

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Solution

The fourth proportional to 74,087.78, 102,257.79 and 47,224.94 is: 65,181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,087.78 : 102,257.79 = 47,224.94 : x
  2. Step 2: Convert to fraction form
    74,087.78/102,257.79 = 47,224.94/x
  3. Step 3: Cross multiply
    74,087.78x = 102,257.79 × 47,224.94
  4. Step 4: Simplify right side
    74,087.78x = 4,829,117,997.28
  5. Step 5: Solve for x
    x = 4,829,117,997.28/74,087.78
  6. Step 6: Final answer
    x = 65,181.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.