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Finding the Fourth Proportional to 84,106.48, 126,016.90 and 50,756.46

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Solution

The fourth proportional to 84,106.48, 126,016.90 and 50,756.46 is: 76,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,106.48 : 126,016.90 = 50,756.46 : x
  2. Step 2: Convert to fraction form
    84,106.48/126,016.90 = 50,756.46/x
  3. Step 3: Cross multiply
    84,106.48x = 126,016.90 × 50,756.46
  4. Step 4: Simplify right side
    84,106.48x = 6,396,171,744.17
  5. Step 5: Solve for x
    x = 6,396,171,744.17/84,106.48
  6. Step 6: Final answer
    x = 76,048.50

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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.