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Finding the Fourth Proportional to 84,658.38, 116,828.37 and 48,359.04

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Solution

The fourth proportional to 84,658.38, 116,828.37 and 48,359.04 is: 66,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,658.38 : 116,828.37 = 48,359.04 : x
  2. Step 2: Convert to fraction form
    84,658.38/116,828.37 = 48,359.04/x
  3. Step 3: Cross multiply
    84,658.38x = 116,828.37 × 48,359.04
  4. Step 4: Simplify right side
    84,658.38x = 5,649,707,817.96
  5. Step 5: Solve for x
    x = 5,649,707,817.96/84,658.38
  6. Step 6: Final answer
    x = 66,735.36

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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.