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Finding the Fourth Proportional to 82,493.60, 113,841.40 and 50,662.16

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Solution

The fourth proportional to 82,493.60, 113,841.40 and 50,662.16 is: 69,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,493.60 : 113,841.40 = 50,662.16 : x
  2. Step 2: Convert to fraction form
    82,493.60/113,841.40 = 50,662.16/x
  3. Step 3: Cross multiply
    82,493.60x = 113,841.40 × 50,662.16
  4. Step 4: Simplify right side
    82,493.60x = 5,767,451,221.42
  5. Step 5: Solve for x
    x = 5,767,451,221.42/82,493.60
  6. Step 6: Final answer
    x = 69,913.92

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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.