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Finding the Fourth Proportional to 96,021.40, 132,571.95 and 85,932.50

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Solution

The fourth proportional to 96,021.40, 132,571.95 and 85,932.50 is: 118,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,021.40 : 132,571.95 = 85,932.50 : x
  2. Step 2: Convert to fraction form
    96,021.40/132,571.95 = 85,932.50/x
  3. Step 3: Cross multiply
    96,021.40x = 132,571.95 × 85,932.50
  4. Step 4: Simplify right side
    96,021.40x = 11,392,239,093.38
  5. Step 5: Solve for x
    x = 11,392,239,093.38/96,021.40
  6. Step 6: Final answer
    x = 118,642.71

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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.