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Finding the Fourth Proportional to 45,314.22, 67,974.93 and 12,033.42

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Solution

The fourth proportional to 45,314.22, 67,974.93 and 12,033.42 is: 18,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,314.22 : 67,974.93 = 12,033.42 : x
  2. Step 2: Convert to fraction form
    45,314.22/67,974.93 = 12,033.42/x
  3. Step 3: Cross multiply
    45,314.22x = 67,974.93 × 12,033.42
  4. Step 4: Simplify right side
    45,314.22x = 817,970,882.16
  5. Step 5: Solve for x
    x = 817,970,882.16/45,314.22
  6. Step 6: Final answer
    x = 18,051.09

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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.