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Finding the Fourth Proportional to 96,461.86, 132,927.80 and 73,826.42

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Solution

The fourth proportional to 96,461.86, 132,927.80 and 73,826.42 is: 101,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,461.86 : 132,927.80 = 73,826.42 : x
  2. Step 2: Convert to fraction form
    96,461.86/132,927.80 = 73,826.42/x
  3. Step 3: Cross multiply
    96,461.86x = 132,927.80 × 73,826.42
  4. Step 4: Simplify right side
    96,461.86x = 9,813,583,592.48
  5. Step 5: Solve for x
    x = 9,813,583,592.48/96,461.86
  6. Step 6: Final answer
    x = 101,735.38

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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.