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Finding the Fourth Proportional to 99,343.98, 149,021.10 and 32,789.28

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Solution

The fourth proportional to 99,343.98, 149,021.10 and 32,789.28 is: 49,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,343.98 : 149,021.10 = 32,789.28 : x
  2. Step 2: Convert to fraction form
    99,343.98/149,021.10 = 32,789.28/x
  3. Step 3: Cross multiply
    99,343.98x = 149,021.10 × 32,789.28
  4. Step 4: Simplify right side
    99,343.98x = 4,886,294,573.81
  5. Step 5: Solve for x
    x = 4,886,294,573.81/99,343.98
  6. Step 6: Final answer
    x = 49,185.61

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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.