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Finding the Fourth Proportional to 96,572.46, 133,196.76 and 84,615

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Solution

The fourth proportional to 96,572.46, 133,196.76 and 84,615 is: 116,704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,572.46 : 133,196.76 = 84,615 : x
  2. Step 2: Convert to fraction form
    96,572.46/133,196.76 = 84,615/x
  3. Step 3: Cross multiply
    96,572.46x = 133,196.76 × 84,615
  4. Step 4: Simplify right side
    96,572.46x = 11,270,443,847.40
  5. Step 5: Solve for x
    x = 11,270,443,847.40/96,572.46
  6. Step 6: Final answer
    x = 116,704.53

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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.