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Finding the Fourth Proportional to 97,912.44, 146,871.10 and 34,729.74

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Solution

The fourth proportional to 97,912.44, 146,871.10 and 34,729.74 is: 52,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,912.44 : 146,871.10 = 34,729.74 : x
  2. Step 2: Convert to fraction form
    97,912.44/146,871.10 = 34,729.74/x
  3. Step 3: Cross multiply
    97,912.44x = 146,871.10 × 34,729.74
  4. Step 4: Simplify right side
    97,912.44x = 5,100,795,116.51
  5. Step 5: Solve for x
    x = 5,100,795,116.51/97,912.44
  6. Step 6: Final answer
    x = 52,095.48

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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.