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Finding the Fourth Proportional to 96,927.84, 133,749.63 and 54,485.46

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Solution

The fourth proportional to 96,927.84, 133,749.63 and 54,485.46 is: 75,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,927.84 : 133,749.63 = 54,485.46 : x
  2. Step 2: Convert to fraction form
    96,927.84/133,749.63 = 54,485.46/x
  3. Step 3: Cross multiply
    96,927.84x = 133,749.63 × 54,485.46
  4. Step 4: Simplify right side
    96,927.84x = 7,287,410,115.38
  5. Step 5: Solve for x
    x = 7,287,410,115.38/96,927.84
  6. Step 6: Final answer
    x = 75,183.87

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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.