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Finding the Fourth Proportional to 96,409.71, 133,299.27 and 84,438.72

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Solution

The fourth proportional to 96,409.71, 133,299.27 and 84,438.72 is: 116,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,409.71 : 133,299.27 = 84,438.72 : x
  2. Step 2: Convert to fraction form
    96,409.71/133,299.27 = 84,438.72/x
  3. Step 3: Cross multiply
    96,409.71x = 133,299.27 × 84,438.72
  4. Step 4: Simplify right side
    96,409.71x = 11,255,619,735.73
  5. Step 5: Solve for x
    x = 11,255,619,735.73/96,409.71
  6. Step 6: Final answer
    x = 116,747.78

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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.