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Finding the Fourth Proportional to 38,496.43, 53,123.49 and 21,500.38

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Solution

The fourth proportional to 38,496.43, 53,123.49 and 21,500.38 is: 29,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496.43 : 53,123.49 = 21,500.38 : x
  2. Step 2: Convert to fraction form
    38,496.43/53,123.49 = 21,500.38/x
  3. Step 3: Cross multiply
    38,496.43x = 53,123.49 × 21,500.38
  4. Step 4: Simplify right side
    38,496.43x = 1,142,175,221.93
  5. Step 5: Solve for x
    x = 1,142,175,221.93/38,496.43
  6. Step 6: Final answer
    x = 29,669.64

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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.