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Finding the Fourth Proportional to 38,715, 53,423.82 and 21,947.64

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Solution

The fourth proportional to 38,715, 53,423.82 and 21,947.64 is: 30,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,715 : 53,423.82 = 21,947.64 : x
  2. Step 2: Convert to fraction form
    38,715/53,423.82 = 21,947.64/x
  3. Step 3: Cross multiply
    38,715x = 53,423.82 × 21,947.64
  4. Step 4: Simplify right side
    38,715x = 1,172,526,768.78
  5. Step 5: Solve for x
    x = 1,172,526,768.78/38,715
  6. Step 6: Final answer
    x = 30,286.11

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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.