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Finding the Fourth Proportional to 107,676, 161,520.48 and 33,804

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Solution

The fourth proportional to 107,676, 161,520.48 and 33,804 is: 50,708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,676 : 161,520.48 = 33,804 : x
  2. Step 2: Convert to fraction form
    107,676/161,520.48 = 33,804/x
  3. Step 3: Cross multiply
    107,676x = 161,520.48 × 33,804
  4. Step 4: Simplify right side
    107,676x = 5,460,038,305.92
  5. Step 5: Solve for x
    x = 5,460,038,305.92/107,676
  6. Step 6: Final answer
    x = 50,708.03

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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.