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Finding the Fourth Proportional to 51,968.80, 78,010.80 and 32,269.60

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Solution

The fourth proportional to 51,968.80, 78,010.80 and 32,269.60 is: 48,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,968.80 : 78,010.80 = 32,269.60 : x
  2. Step 2: Convert to fraction form
    51,968.80/78,010.80 = 32,269.60/x
  3. Step 3: Cross multiply
    51,968.80x = 78,010.80 × 32,269.60
  4. Step 4: Simplify right side
    51,968.80x = 2,517,377,311.68
  5. Step 5: Solve for x
    x = 2,517,377,311.68/51,968.80
  6. Step 6: Final answer
    x = 48,440.17

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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.