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Finding the Fourth Proportional to 96,363.40, 144,509.14 and 33,165.80

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Solution

The fourth proportional to 96,363.40, 144,509.14 and 33,165.80 is: 49,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,363.40 : 144,509.14 = 33,165.80 : x
  2. Step 2: Convert to fraction form
    96,363.40/144,509.14 = 33,165.80/x
  3. Step 3: Cross multiply
    96,363.40x = 144,509.14 × 33,165.80
  4. Step 4: Simplify right side
    96,363.40x = 4,792,761,235.41
  5. Step 5: Solve for x
    x = 4,792,761,235.41/96,363.40
  6. Step 6: Final answer
    x = 49,736.32

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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.