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Finding the Fourth Proportional to 96,162.89, 144,229.76 and 33,818.81

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Solution

The fourth proportional to 96,162.89, 144,229.76 and 33,818.81 is: 50,723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,162.89 : 144,229.76 = 33,818.81 : x
  2. Step 2: Convert to fraction form
    96,162.89/144,229.76 = 33,818.81/x
  3. Step 3: Cross multiply
    96,162.89x = 144,229.76 × 33,818.81
  4. Step 4: Simplify right side
    96,162.89x = 4,877,679,041.27
  5. Step 5: Solve for x
    x = 4,877,679,041.27/96,162.89
  6. Step 6: Final answer
    x = 50,723.09

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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.