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Finding the Fourth Proportional to 38,469.21, 53,086.02 and 21,472.58

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Solution

The fourth proportional to 38,469.21, 53,086.02 and 21,472.58 is: 29,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,469.21 : 53,086.02 = 21,472.58 : x
  2. Step 2: Convert to fraction form
    38,469.21/53,086.02 = 21,472.58/x
  3. Step 3: Cross multiply
    38,469.21x = 53,086.02 × 21,472.58
  4. Step 4: Simplify right side
    38,469.21x = 1,139,893,545.90
  5. Step 5: Solve for x
    x = 1,139,893,545.90/38,469.21
  6. Step 6: Final answer
    x = 29,631.32

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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.