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Finding the Fourth Proportional to 97,611.92, 146,418.84 and 27,492.56

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Solution

The fourth proportional to 97,611.92, 146,418.84 and 27,492.56 is: 41,239.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,611.92 : 146,418.84 = 27,492.56 : x
  2. Step 2: Convert to fraction form
    97,611.92/146,418.84 = 27,492.56/x
  3. Step 3: Cross multiply
    97,611.92x = 146,418.84 × 27,492.56
  4. Step 4: Simplify right side
    97,611.92x = 4,025,428,743.83
  5. Step 5: Solve for x
    x = 4,025,428,743.83/97,611.92
  6. Step 6: Final answer
    x = 41,239.11

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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.