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Finding the Fourth Proportional to 59,478.50, 82,080.33 and 32,982.50

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Solution

The fourth proportional to 59,478.50, 82,080.33 and 32,982.50 is: 45,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,478.50 : 82,080.33 = 32,982.50 : x
  2. Step 2: Convert to fraction form
    59,478.50/82,080.33 = 32,982.50/x
  3. Step 3: Cross multiply
    59,478.50x = 82,080.33 × 32,982.50
  4. Step 4: Simplify right side
    59,478.50x = 2,707,214,484.23
  5. Step 5: Solve for x
    x = 2,707,214,484.23/59,478.50
  6. Step 6: Final answer
    x = 45,515.85

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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.