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Finding the Fourth Proportional to 84,267, 126,421.29 and 25,102.44

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Solution

The fourth proportional to 84,267, 126,421.29 and 25,102.44 is: 37,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,267 : 126,421.29 = 25,102.44 : x
  2. Step 2: Convert to fraction form
    84,267/126,421.29 = 25,102.44/x
  3. Step 3: Cross multiply
    84,267x = 126,421.29 × 25,102.44
  4. Step 4: Simplify right side
    84,267x = 3,173,482,846.95
  5. Step 5: Solve for x
    x = 3,173,482,846.95/84,267
  6. Step 6: Final answer
    x = 37,659.85

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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.