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Finding the Fourth Proportional to 38,053.81, 52,524.82 and 22,141.34

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Solution

The fourth proportional to 38,053.81, 52,524.82 and 22,141.34 is: 30,561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,053.81 : 52,524.82 = 22,141.34 : x
  2. Step 2: Convert to fraction form
    38,053.81/52,524.82 = 22,141.34/x
  3. Step 3: Cross multiply
    38,053.81x = 52,524.82 × 22,141.34
  4. Step 4: Simplify right side
    38,053.81x = 1,162,969,898.06
  5. Step 5: Solve for x
    x = 1,162,969,898.06/38,053.81
  6. Step 6: Final answer
    x = 30,561.19

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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.