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Finding the Fourth Proportional to 59,841.54, 82,580.31 and 32,983.98

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Solution

The fourth proportional to 59,841.54, 82,580.31 and 32,983.98 is: 45,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,841.54 : 82,580.31 = 32,983.98 : x
  2. Step 2: Convert to fraction form
    59,841.54/82,580.31 = 32,983.98/x
  3. Step 3: Cross multiply
    59,841.54x = 82,580.31 × 32,983.98
  4. Step 4: Simplify right side
    59,841.54x = 2,723,827,293.43
  5. Step 5: Solve for x
    x = 2,723,827,293.43/59,841.54
  6. Step 6: Final answer
    x = 45,517.33

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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.