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Finding the Fourth Proportional to 96,884.64, 145,363.86 and 33,711.78

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Solution

The fourth proportional to 96,884.64, 145,363.86 and 33,711.78 is: 50,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,884.64 : 145,363.86 = 33,711.78 : x
  2. Step 2: Convert to fraction form
    96,884.64/145,363.86 = 33,711.78/x
  3. Step 3: Cross multiply
    96,884.64x = 145,363.86 × 33,711.78
  4. Step 4: Simplify right side
    96,884.64x = 4,900,474,468.27
  5. Step 5: Solve for x
    x = 4,900,474,468.27/96,884.64
  6. Step 6: Final answer
    x = 50,580.51

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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.