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Finding the Fourth Proportional to 96,800.50, 133,584.70 and 54,359.06

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Solution

The fourth proportional to 96,800.50, 133,584.70 and 54,359.06 is: 75,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,800.50 : 133,584.70 = 54,359.06 : x
  2. Step 2: Convert to fraction form
    96,800.50/133,584.70 = 54,359.06/x
  3. Step 3: Cross multiply
    96,800.50x = 133,584.70 × 54,359.06
  4. Step 4: Simplify right side
    96,800.50x = 7,261,538,722.38
  5. Step 5: Solve for x
    x = 7,261,538,722.38/96,800.50
  6. Step 6: Final answer
    x = 75,015.51

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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.