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Finding the Fourth Proportional to 96,359.88, 144,503.91 and 33,162.33

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Solution

The fourth proportional to 96,359.88, 144,503.91 and 33,162.33 is: 49,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,359.88 : 144,503.91 = 33,162.33 : x
  2. Step 2: Convert to fraction form
    96,359.88/144,503.91 = 33,162.33/x
  3. Step 3: Cross multiply
    96,359.88x = 144,503.91 × 33,162.33
  4. Step 4: Simplify right side
    96,359.88x = 4,792,086,349.71
  5. Step 5: Solve for x
    x = 4,792,086,349.71/96,359.88
  6. Step 6: Final answer
    x = 49,731.14

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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.