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Finding the Fourth Proportional to 84,419.12, 116,492.24 and 46,694

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Solution

The fourth proportional to 84,419.12, 116,492.24 and 46,694 is: 64,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,419.12 : 116,492.24 = 46,694 : x
  2. Step 2: Convert to fraction form
    84,419.12/116,492.24 = 46,694/x
  3. Step 3: Cross multiply
    84,419.12x = 116,492.24 × 46,694
  4. Step 4: Simplify right side
    84,419.12x = 5,439,488,654.56
  5. Step 5: Solve for x
    x = 5,439,488,654.56/84,419.12
  6. Step 6: Final answer
    x = 64,434.32

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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.