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Finding the Fourth Proportional to 51,804.80, 77,764.80 and 32,105.60

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Solution

The fourth proportional to 51,804.80, 77,764.80 and 32,105.60 is: 48,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,804.80 : 77,764.80 = 32,105.60 : x
  2. Step 2: Convert to fraction form
    51,804.80/77,764.80 = 32,105.60/x
  3. Step 3: Cross multiply
    51,804.80x = 77,764.80 × 32,105.60
  4. Step 4: Simplify right side
    51,804.80x = 2,496,685,562.88
  5. Step 5: Solve for x
    x = 2,496,685,562.88/51,804.80
  6. Step 6: Final answer
    x = 48,194.10

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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.