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Finding the Fourth Proportional to 84,074.39, 116,028.42 and 51,382.86

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Solution

The fourth proportional to 84,074.39, 116,028.42 and 51,382.86 is: 70,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,074.39 : 116,028.42 = 51,382.86 : x
  2. Step 2: Convert to fraction form
    84,074.39/116,028.42 = 51,382.86/x
  3. Step 3: Cross multiply
    84,074.39x = 116,028.42 × 51,382.86
  4. Step 4: Simplify right side
    84,074.39x = 5,961,871,433.09
  5. Step 5: Solve for x
    x = 5,961,871,433.09/84,074.39
  6. Step 6: Final answer
    x = 70,911.86

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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.