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Finding the Fourth Proportional to 97,959.78, 146,939.67 and 27,829.98

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Solution

The fourth proportional to 97,959.78, 146,939.67 and 27,829.98 is: 41,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,959.78 : 146,939.67 = 27,829.98 : x
  2. Step 2: Convert to fraction form
    97,959.78/146,939.67 = 27,829.98/x
  3. Step 3: Cross multiply
    97,959.78x = 146,939.67 × 27,829.98
  4. Step 4: Simplify right side
    97,959.78x = 4,089,328,077.31
  5. Step 5: Solve for x
    x = 4,089,328,077.31/97,959.78
  6. Step 6: Final answer
    x = 41,744.97

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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.