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Finding the Fourth Proportional to 96,283.44, 144,448.80 and 33,104.52

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Solution

The fourth proportional to 96,283.44, 144,448.80 and 33,104.52 is: 49,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,283.44 : 144,448.80 = 33,104.52 : x
  2. Step 2: Convert to fraction form
    96,283.44/144,448.80 = 33,104.52/x
  3. Step 3: Cross multiply
    96,283.44x = 144,448.80 × 33,104.52
  4. Step 4: Simplify right side
    96,283.44x = 4,781,908,188.58
  5. Step 5: Solve for x
    x = 4,781,908,188.58/96,283.44
  6. Step 6: Final answer
    x = 49,664.91

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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.