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Finding the Fourth Proportional to 38,419.39, 53,018.53 and 21,423.85

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Solution

The fourth proportional to 38,419.39, 53,018.53 and 21,423.85 is: 29,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419.39 : 53,018.53 = 21,423.85 : x
  2. Step 2: Convert to fraction form
    38,419.39/53,018.53 = 21,423.85/x
  3. Step 3: Cross multiply
    38,419.39x = 53,018.53 × 21,423.85
  4. Step 4: Simplify right side
    38,419.39x = 1,135,861,033.94
  5. Step 5: Solve for x
    x = 1,135,861,033.94/38,419.39
  6. Step 6: Final answer
    x = 29,564.79

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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.