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Finding the Fourth Proportional to 99,422.96, 149,157.80 and 32,863.09

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Solution

The fourth proportional to 99,422.96, 149,157.80 and 32,863.09 is: 49,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,422.96 : 149,157.80 = 32,863.09 : x
  2. Step 2: Convert to fraction form
    99,422.96/149,157.80 = 32,863.09/x
  3. Step 3: Cross multiply
    99,422.96x = 149,157.80 × 32,863.09
  4. Step 4: Simplify right side
    99,422.96x = 4,901,786,496.34
  5. Step 5: Solve for x
    x = 4,901,786,496.34/99,422.96
  6. Step 6: Final answer
    x = 49,302.36

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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.