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Finding the Fourth Proportional to 84,564.69, 126,893.47 and 49,069.41

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Solution

The fourth proportional to 84,564.69, 126,893.47 and 49,069.41 is: 73,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,564.69 : 126,893.47 = 49,069.41 : x
  2. Step 2: Convert to fraction form
    84,564.69/126,893.47 = 49,069.41/x
  3. Step 3: Cross multiply
    84,564.69x = 126,893.47 × 49,069.41
  4. Step 4: Simplify right side
    84,564.69x = 6,226,587,705.75
  5. Step 5: Solve for x
    x = 6,226,587,705.75/84,564.69
  6. Step 6: Final answer
    x = 73,631.06

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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.