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Finding the Fourth Proportional to 83,538.72, 125,313.12 and 33,618.60

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Solution

The fourth proportional to 83,538.72, 125,313.12 and 33,618.60 is: 50,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,538.72 : 125,313.12 = 33,618.60 : x
  2. Step 2: Convert to fraction form
    83,538.72/125,313.12 = 33,618.60/x
  3. Step 3: Cross multiply
    83,538.72x = 125,313.12 × 33,618.60
  4. Step 4: Simplify right side
    83,538.72x = 4,212,851,656.03
  5. Step 5: Solve for x
    x = 4,212,851,656.03/83,538.72
  6. Step 6: Final answer
    x = 50,429.93

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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.