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Finding the Fourth Proportional to 96,208, 144,314.16 and 33,028

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Solution

The fourth proportional to 96,208, 144,314.16 and 33,028 is: 49,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,208 : 144,314.16 = 33,028 : x
  2. Step 2: Convert to fraction form
    96,208/144,314.16 = 33,028/x
  3. Step 3: Cross multiply
    96,208x = 144,314.16 × 33,028
  4. Step 4: Simplify right side
    96,208x = 4,766,408,076.48
  5. Step 5: Solve for x
    x = 4,766,408,076.48/96,208
  6. Step 6: Final answer
    x = 49,542.74

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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.