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Finding the Fourth Proportional to 83,741.40, 115,560.72 and 47,930.22

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Solution

The fourth proportional to 83,741.40, 115,560.72 and 47,930.22 is: 66,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,741.40 : 115,560.72 = 47,930.22 : x
  2. Step 2: Convert to fraction form
    83,741.40/115,560.72 = 47,930.22/x
  3. Step 3: Cross multiply
    83,741.40x = 115,560.72 × 47,930.22
  4. Step 4: Simplify right side
    83,741.40x = 5,538,850,732.96
  5. Step 5: Solve for x
    x = 5,538,850,732.96/83,741.40
  6. Step 6: Final answer
    x = 66,142.32

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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.