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Finding the Fourth Proportional to 55,217.60, 82,912.80 and 42,084.80

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Solution

The fourth proportional to 55,217.60, 82,912.80 and 42,084.80 is: 63,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,217.60 : 82,912.80 = 42,084.80 : x
  2. Step 2: Convert to fraction form
    55,217.60/82,912.80 = 42,084.80/x
  3. Step 3: Cross multiply
    55,217.60x = 82,912.80 × 42,084.80
  4. Step 4: Simplify right side
    55,217.60x = 3,489,368,605.44
  5. Step 5: Solve for x
    x = 3,489,368,605.44/55,217.60
  6. Step 6: Final answer
    x = 63,193.05

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Why These Related Problems?

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