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Finding the Fourth Proportional to 83,676.18, 125,514.30 and 52,533.30

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Solution

The fourth proportional to 83,676.18, 125,514.30 and 52,533.30 is: 78,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,676.18 : 125,514.30 = 52,533.30 : x
  2. Step 2: Convert to fraction form
    83,676.18/125,514.30 = 52,533.30/x
  3. Step 3: Cross multiply
    83,676.18x = 125,514.30 × 52,533.30
  4. Step 4: Simplify right side
    83,676.18x = 6,593,680,376.19
  5. Step 5: Solve for x
    x = 6,593,680,376.19/83,676.18
  6. Step 6: Final answer
    x = 78,799.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.