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Finding the Fourth Proportional to 84,546.48, 126,829.44 and 49,486.44

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Solution

The fourth proportional to 84,546.48, 126,829.44 and 49,486.44 is: 74,235.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,546.48 : 126,829.44 = 49,486.44 : x
  2. Step 2: Convert to fraction form
    84,546.48/126,829.44 = 49,486.44/x
  3. Step 3: Cross multiply
    84,546.48x = 126,829.44 × 49,486.44
  4. Step 4: Simplify right side
    84,546.48x = 6,276,337,472.79
  5. Step 5: Solve for x
    x = 6,276,337,472.79/84,546.48
  6. Step 6: Final answer
    x = 74,235.35

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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.