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Finding the Fourth Proportional to 59,512, 82,126.56 and 33,016

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Solution

The fourth proportional to 59,512, 82,126.56 and 33,016 is: 45,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,512 : 82,126.56 = 33,016 : x
  2. Step 2: Convert to fraction form
    59,512/82,126.56 = 33,016/x
  3. Step 3: Cross multiply
    59,512x = 82,126.56 × 33,016
  4. Step 4: Simplify right side
    59,512x = 2,711,490,504.96
  5. Step 5: Solve for x
    x = 2,711,490,504.96/59,512
  6. Step 6: Final answer
    x = 45,562.08

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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.