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Finding the Fourth Proportional to 83,466.76, 125,205.42 and 33,540.16

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Solution

The fourth proportional to 83,466.76, 125,205.42 and 33,540.16 is: 50,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,466.76 : 125,205.42 = 33,540.16 : x
  2. Step 2: Convert to fraction form
    83,466.76/125,205.42 = 33,540.16/x
  3. Step 3: Cross multiply
    83,466.76x = 125,205.42 × 33,540.16
  4. Step 4: Simplify right side
    83,466.76x = 4,199,409,819.67
  5. Step 5: Solve for x
    x = 4,199,409,819.67/83,466.76
  6. Step 6: Final answer
    x = 50,312.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.