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Finding the Fourth Proportional to 83,534.58, 125,364.16 and 33,615.12

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Solution

The fourth proportional to 83,534.58, 125,364.16 and 33,615.12 is: 50,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,534.58 : 125,364.16 = 33,615.12 : x
  2. Step 2: Convert to fraction form
    83,534.58/125,364.16 = 33,615.12/x
  3. Step 3: Cross multiply
    83,534.58x = 125,364.16 × 33,615.12
  4. Step 4: Simplify right side
    83,534.58x = 4,214,131,282.10
  5. Step 5: Solve for x
    x = 4,214,131,282.10/83,534.58
  6. Step 6: Final answer
    x = 50,447.75

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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.