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Finding the Fourth Proportional to 30,930.48, 42,670.20 and 20,855.64

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Solution

The fourth proportional to 30,930.48, 42,670.20 and 20,855.64 is: 28,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.48 : 42,670.20 = 20,855.64 : x
  2. Step 2: Convert to fraction form
    30,930.48/42,670.20 = 20,855.64/x
  3. Step 3: Cross multiply
    30,930.48x = 42,670.20 × 20,855.64
  4. Step 4: Simplify right side
    30,930.48x = 889,914,329.93
  5. Step 5: Solve for x
    x = 889,914,329.93/30,930.48
  6. Step 6: Final answer
    x = 28,771.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.