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Finding the Fourth Proportional to 83,418.32, 115,112.76 and 47,611.68

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Solution

The fourth proportional to 83,418.32, 115,112.76 and 47,611.68 is: 65,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,418.32 : 115,112.76 = 47,611.68 : x
  2. Step 2: Convert to fraction form
    83,418.32/115,112.76 = 47,611.68/x
  3. Step 3: Cross multiply
    83,418.32x = 115,112.76 × 47,611.68
  4. Step 4: Simplify right side
    83,418.32x = 5,480,711,893.04
  5. Step 5: Solve for x
    x = 5,480,711,893.04/83,418.32
  6. Step 6: Final answer
    x = 65,701.54

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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.