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Finding the Fourth Proportional to 96,961.80, 133,805.70 and 53,940.82

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Solution

The fourth proportional to 96,961.80, 133,805.70 and 53,940.82 is: 74,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,961.80 : 133,805.70 = 53,940.82 : x
  2. Step 2: Convert to fraction form
    96,961.80/133,805.70 = 53,940.82/x
  3. Step 3: Cross multiply
    96,961.80x = 133,805.70 × 53,940.82
  4. Step 4: Simplify right side
    96,961.80x = 7,217,589,178.67
  5. Step 5: Solve for x
    x = 7,217,589,178.67/96,961.80
  6. Step 6: Final answer
    x = 74,437.45

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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.