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Finding the Fourth Proportional to 49,463.14, 74,194.05 and 12,023.11

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Solution

The fourth proportional to 49,463.14, 74,194.05 and 12,023.11 is: 18,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,463.14 : 74,194.05 = 12,023.11 : x
  2. Step 2: Convert to fraction form
    49,463.14/74,194.05 = 12,023.11/x
  3. Step 3: Cross multiply
    49,463.14x = 74,194.05 × 12,023.11
  4. Step 4: Simplify right side
    49,463.14x = 892,043,224.50
  5. Step 5: Solve for x
    x = 892,043,224.50/49,463.14
  6. Step 6: Final answer
    x = 18,034.50

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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.