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Finding the Fourth Proportional to 84,093.04, 116,107.68 and 53,956

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Solution

The fourth proportional to 84,093.04, 116,107.68 and 53,956 is: 74,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,093.04 : 116,107.68 = 53,956 : x
  2. Step 2: Convert to fraction form
    84,093.04/116,107.68 = 53,956/x
  3. Step 3: Cross multiply
    84,093.04x = 116,107.68 × 53,956
  4. Step 4: Simplify right side
    84,093.04x = 6,264,705,982.08
  5. Step 5: Solve for x
    x = 6,264,705,982.08/84,093.04
  6. Step 6: Final answer
    x = 74,497.32

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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.