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Finding the Fourth Proportional to 84,165, 116,149.32 and 46,438.44

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Solution

The fourth proportional to 84,165, 116,149.32 and 46,438.44 is: 64,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,165 : 116,149.32 = 46,438.44 : x
  2. Step 2: Convert to fraction form
    84,165/116,149.32 = 46,438.44/x
  3. Step 3: Cross multiply
    84,165x = 116,149.32 × 46,438.44
  4. Step 4: Simplify right side
    84,165x = 5,393,793,227.86
  5. Step 5: Solve for x
    x = 5,393,793,227.86/84,165
  6. Step 6: Final answer
    x = 64,085.94

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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.