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Finding the Fourth Proportional to 84,176.77, 116,183.81 and 48,387.54

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Solution

The fourth proportional to 84,176.77, 116,183.81 and 48,387.54 is: 66,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,176.77 : 116,183.81 = 48,387.54 : x
  2. Step 2: Convert to fraction form
    84,176.77/116,183.81 = 48,387.54/x
  3. Step 3: Cross multiply
    84,176.77x = 116,183.81 × 48,387.54
  4. Step 4: Simplify right side
    84,176.77x = 5,621,848,172.81
  5. Step 5: Solve for x
    x = 5,621,848,172.81/84,176.77
  6. Step 6: Final answer
    x = 66,786.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.