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Finding the Fourth Proportional to 96,923, 145,384.50 and 25,845.88

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Solution

The fourth proportional to 96,923, 145,384.50 and 25,845.88 is: 38,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,923 : 145,384.50 = 25,845.88 : x
  2. Step 2: Convert to fraction form
    96,923/145,384.50 = 25,845.88/x
  3. Step 3: Cross multiply
    96,923x = 145,384.50 × 25,845.88
  4. Step 4: Simplify right side
    96,923x = 3,757,590,340.86
  5. Step 5: Solve for x
    x = 3,757,590,340.86/96,923
  6. Step 6: Final answer
    x = 38,768.82

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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.