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Finding the Fourth Proportional to 38,041, 52,496.76 and 21,274

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Solution

The fourth proportional to 38,041, 52,496.76 and 21,274 is: 29,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,041 : 52,496.76 = 21,274 : x
  2. Step 2: Convert to fraction form
    38,041/52,496.76 = 21,274/x
  3. Step 3: Cross multiply
    38,041x = 52,496.76 × 21,274
  4. Step 4: Simplify right side
    38,041x = 1,116,816,072.24
  5. Step 5: Solve for x
    x = 1,116,816,072.24/38,041
  6. Step 6: Final answer
    x = 29,358.22

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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.