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Finding the Fourth Proportional to 84,472.88, 116,578.04 and 46,747.13

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Solution

The fourth proportional to 84,472.88, 116,578.04 and 46,747.13 is: 64,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,472.88 : 116,578.04 = 46,747.13 : x
  2. Step 2: Convert to fraction form
    84,472.88/116,578.04 = 46,747.13/x
  3. Step 3: Cross multiply
    84,472.88x = 116,578.04 × 46,747.13
  4. Step 4: Simplify right side
    84,472.88x = 5,449,687,974.40
  5. Step 5: Solve for x
    x = 5,449,687,974.40/84,472.88
  6. Step 6: Final answer
    x = 64,514.06

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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.