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Finding the Fourth Proportional to 83,405.90, 115,108.43 and 47,601.34

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Solution

The fourth proportional to 83,405.90, 115,108.43 and 47,601.34 is: 65,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,405.90 : 115,108.43 = 47,601.34 : x
  2. Step 2: Convert to fraction form
    83,405.90/115,108.43 = 47,601.34/x
  3. Step 3: Cross multiply
    83,405.90x = 115,108.43 × 47,601.34
  4. Step 4: Simplify right side
    83,405.90x = 5,479,314,987.52
  5. Step 5: Solve for x
    x = 5,479,314,987.52/83,405.90
  6. Step 6: Final answer
    x = 65,694.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.