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Finding the Fourth Proportional to 96,642, 133,366.20 and 56,383.44

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Solution

The fourth proportional to 96,642, 133,366.20 and 56,383.44 is: 77,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,642 : 133,366.20 = 56,383.44 : x
  2. Step 2: Convert to fraction form
    96,642/133,366.20 = 56,383.44/x
  3. Step 3: Cross multiply
    96,642x = 133,366.20 × 56,383.44
  4. Step 4: Simplify right side
    96,642x = 7,519,645,135.73
  5. Step 5: Solve for x
    x = 7,519,645,135.73/96,642
  6. Step 6: Final answer
    x = 77,809.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.