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Finding the Fourth Proportional to 72,933.78, 109,390.94 and 20,338.86

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Solution

The fourth proportional to 72,933.78, 109,390.94 and 20,338.86 is: 30,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,933.78 : 109,390.94 = 20,338.86 : x
  2. Step 2: Convert to fraction form
    72,933.78/109,390.94 = 20,338.86/x
  3. Step 3: Cross multiply
    72,933.78x = 109,390.94 × 20,338.86
  4. Step 4: Simplify right side
    72,933.78x = 2,224,886,517.82
  5. Step 5: Solve for x
    x = 2,224,886,517.82/72,933.78
  6. Step 6: Final answer
    x = 30,505.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.