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Finding the Fourth Proportional to 83,405, 115,098.90 and 45,680.60

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Solution

The fourth proportional to 83,405, 115,098.90 and 45,680.60 is: 63,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,405 : 115,098.90 = 45,680.60 : x
  2. Step 2: Convert to fraction form
    83,405/115,098.90 = 45,680.60/x
  3. Step 3: Cross multiply
    83,405x = 115,098.90 × 45,680.60
  4. Step 4: Simplify right side
    83,405x = 5,257,786,811.34
  5. Step 5: Solve for x
    x = 5,257,786,811.34/83,405
  6. Step 6: Final answer
    x = 63,039.23

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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.