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Finding the Fourth Proportional to 84,196.64, 116,192 and 45,956.48

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Solution

The fourth proportional to 84,196.64, 116,192 and 45,956.48 is: 63,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,196.64 : 116,192 = 45,956.48 : x
  2. Step 2: Convert to fraction form
    84,196.64/116,192 = 45,956.48/x
  3. Step 3: Cross multiply
    84,196.64x = 116,192 × 45,956.48
  4. Step 4: Simplify right side
    84,196.64x = 5,339,775,324.16
  5. Step 5: Solve for x
    x = 5,339,775,324.16/84,196.64
  6. Step 6: Final answer
    x = 63,420.29

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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.