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Finding the Fourth Proportional to 96,484.80, 144,744.30 and 33,299.94

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Solution

The fourth proportional to 96,484.80, 144,744.30 and 33,299.94 is: 49,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,484.80 : 144,744.30 = 33,299.94 : x
  2. Step 2: Convert to fraction form
    96,484.80/144,744.30 = 33,299.94/x
  3. Step 3: Cross multiply
    96,484.80x = 144,744.30 × 33,299.94
  4. Step 4: Simplify right side
    96,484.80x = 4,819,976,505.34
  5. Step 5: Solve for x
    x = 4,819,976,505.34/96,484.80
  6. Step 6: Final answer
    x = 49,955.81

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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.