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Finding the Fourth Proportional to 84,113.67, 116,076.97 and 45,873.28

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Solution

The fourth proportional to 84,113.67, 116,076.97 and 45,873.28 is: 63,305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,113.67 : 116,076.97 = 45,873.28 : x
  2. Step 2: Convert to fraction form
    84,113.67/116,076.97 = 45,873.28/x
  3. Step 3: Cross multiply
    84,113.67x = 116,076.97 × 45,873.28
  4. Step 4: Simplify right side
    84,113.67x = 5,324,831,346.36
  5. Step 5: Solve for x
    x = 5,324,831,346.36/84,113.67
  6. Step 6: Final answer
    x = 63,305.18

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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.