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Finding the Fourth Proportional to 59,638, 82,300.60 and 33,142

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Solution

The fourth proportional to 59,638, 82,300.60 and 33,142 is: 45,736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,638 : 82,300.60 = 33,142 : x
  2. Step 2: Convert to fraction form
    59,638/82,300.60 = 33,142/x
  3. Step 3: Cross multiply
    59,638x = 82,300.60 × 33,142
  4. Step 4: Simplify right side
    59,638x = 2,727,606,485.20
  5. Step 5: Solve for x
    x = 2,727,606,485.20/59,638
  6. Step 6: Final answer
    x = 45,736.05

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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.