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Finding the Fourth Proportional to 33,044, 45,601.44 and 18,140

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Solution

The fourth proportional to 33,044, 45,601.44 and 18,140 is: 25,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,044 : 45,601.44 = 18,140 : x
  2. Step 2: Convert to fraction form
    33,044/45,601.44 = 18,140/x
  3. Step 3: Cross multiply
    33,044x = 45,601.44 × 18,140
  4. Step 4: Simplify right side
    33,044x = 827,210,121.60
  5. Step 5: Solve for x
    x = 827,210,121.60/33,044
  6. Step 6: Final answer
    x = 25,033.60

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Why These Related Problems?

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