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Finding the Fourth Proportional to 53,608.70, 73,983.36 and 30,951.84

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Solution

The fourth proportional to 53,608.70, 73,983.36 and 30,951.84 is: 42,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,608.70 : 73,983.36 = 30,951.84 : x
  2. Step 2: Convert to fraction form
    53,608.70/73,983.36 = 30,951.84/x
  3. Step 3: Cross multiply
    53,608.70x = 73,983.36 × 30,951.84
  4. Step 4: Simplify right side
    53,608.70x = 2,289,921,121.38
  5. Step 5: Solve for x
    x = 2,289,921,121.38/53,608.70
  6. Step 6: Final answer
    x = 42,715.48

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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.