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Finding the Fourth Proportional to 84,195.64, 116,189.54 and 46,472.20

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Solution

The fourth proportional to 84,195.64, 116,189.54 and 46,472.20 is: 64,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,195.64 : 116,189.54 = 46,472.20 : x
  2. Step 2: Convert to fraction form
    84,195.64/116,189.54 = 46,472.20/x
  3. Step 3: Cross multiply
    84,195.64x = 116,189.54 × 46,472.20
  4. Step 4: Simplify right side
    84,195.64x = 5,399,583,540.79
  5. Step 5: Solve for x
    x = 5,399,583,540.79/84,195.64
  6. Step 6: Final answer
    x = 64,131.39

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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.