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Finding the Fourth Proportional to 84,500.25, 126,874.98 and 47,133.33

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Solution

The fourth proportional to 84,500.25, 126,874.98 and 47,133.33 is: 70,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,500.25 : 126,874.98 = 47,133.33 : x
  2. Step 2: Convert to fraction form
    84,500.25/126,874.98 = 47,133.33/x
  3. Step 3: Cross multiply
    84,500.25x = 126,874.98 × 47,133.33
  4. Step 4: Simplify right side
    84,500.25x = 5,980,040,301.08
  5. Step 5: Solve for x
    x = 5,980,040,301.08/84,500.25
  6. Step 6: Final answer
    x = 70,769.50

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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.