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Finding the Fourth Proportional to 84,113.79, 116,077.14 and 45,873.42

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Solution

The fourth proportional to 84,113.79, 116,077.14 and 45,873.42 is: 63,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,113.79 : 116,077.14 = 45,873.42 : x
  2. Step 2: Convert to fraction form
    84,113.79/116,077.14 = 45,873.42/x
  3. Step 3: Cross multiply
    84,113.79x = 116,077.14 × 45,873.42
  4. Step 4: Simplify right side
    84,113.79x = 5,324,855,395.62
  5. Step 5: Solve for x
    x = 5,324,855,395.62/84,113.79
  6. Step 6: Final answer
    x = 63,305.38

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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.