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Finding the Fourth Proportional to 55,185.30, 82,819.87 and 40,432.77

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Solution

The fourth proportional to 55,185.30, 82,819.87 and 40,432.77 is: 60,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,185.30 : 82,819.87 = 40,432.77 : x
  2. Step 2: Convert to fraction form
    55,185.30/82,819.87 = 40,432.77/x
  3. Step 3: Cross multiply
    55,185.30x = 82,819.87 × 40,432.77
  4. Step 4: Simplify right side
    55,185.30x = 3,348,636,654.06
  5. Step 5: Solve for x
    x = 3,348,636,654.06/55,185.30
  6. Step 6: Final answer
    x = 60,679.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.