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Finding the Fourth Proportional to 30,930.60, 46,357.88 and 12,191.84

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Solution

The fourth proportional to 30,930.60, 46,357.88 and 12,191.84 is: 18,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.60 : 46,357.88 = 12,191.84 : x
  2. Step 2: Convert to fraction form
    30,930.60/46,357.88 = 12,191.84/x
  3. Step 3: Cross multiply
    30,930.60x = 46,357.88 × 12,191.84
  4. Step 4: Simplify right side
    30,930.60x = 565,187,855.70
  5. Step 5: Solve for x
    x = 565,187,855.70/30,930.60
  6. Step 6: Final answer
    x = 18,272.77

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