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Finding the Fourth Proportional to 48,582.56, 72,891.60 and 20,509.60

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Solution

The fourth proportional to 48,582.56, 72,891.60 and 20,509.60 is: 30,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,582.56 : 72,891.60 = 20,509.60 : x
  2. Step 2: Convert to fraction form
    48,582.56/72,891.60 = 20,509.60/x
  3. Step 3: Cross multiply
    48,582.56x = 72,891.60 × 20,509.60
  4. Step 4: Simplify right side
    48,582.56x = 1,494,977,559.36
  5. Step 5: Solve for x
    x = 1,494,977,559.36/48,582.56
  6. Step 6: Final answer
    x = 30,771.90

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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.