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Finding the Fourth Proportional to 84,231.72, 116,239.38 and 46,505.70

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Solution

The fourth proportional to 84,231.72, 116,239.38 and 46,505.70 is: 64,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,231.72 : 116,239.38 = 46,505.70 : x
  2. Step 2: Convert to fraction form
    84,231.72/116,239.38 = 46,505.70/x
  3. Step 3: Cross multiply
    84,231.72x = 116,239.38 × 46,505.70
  4. Step 4: Simplify right side
    84,231.72x = 5,405,793,734.47
  5. Step 5: Solve for x
    x = 5,405,793,734.47/84,231.72
  6. Step 6: Final answer
    x = 64,177.65

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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.