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Finding the Fourth Proportional to 83,394.50, 115,085.07 and 47,584.26

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Solution

The fourth proportional to 83,394.50, 115,085.07 and 47,584.26 is: 65,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,394.50 : 115,085.07 = 47,584.26 : x
  2. Step 2: Convert to fraction form
    83,394.50/115,085.07 = 47,584.26/x
  3. Step 3: Cross multiply
    83,394.50x = 115,085.07 × 47,584.26
  4. Step 4: Simplify right side
    83,394.50x = 5,476,237,893.00
  5. Step 5: Solve for x
    x = 5,476,237,893.00/83,394.50
  6. Step 6: Final answer
    x = 65,666.66

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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.