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Finding the Fourth Proportional to 97,725.54, 134,743.05 and 82,591.50

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Solution

The fourth proportional to 97,725.54, 134,743.05 and 82,591.50 is: 113,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,725.54 : 134,743.05 = 82,591.50 : x
  2. Step 2: Convert to fraction form
    97,725.54/134,743.05 = 82,591.50/x
  3. Step 3: Cross multiply
    97,725.54x = 134,743.05 × 82,591.50
  4. Step 4: Simplify right side
    97,725.54x = 11,128,630,614.08
  5. Step 5: Solve for x
    x = 11,128,630,614.08/97,725.54
  6. Step 6: Final answer
    x = 113,876.38

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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.