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Finding the Fourth Proportional to 38,503, 53,134.14 and 20,839

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Solution

The fourth proportional to 38,503, 53,134.14 and 20,839 is: 28,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503 : 53,134.14 = 20,839 : x
  2. Step 2: Convert to fraction form
    38,503/53,134.14 = 20,839/x
  3. Step 3: Cross multiply
    38,503x = 53,134.14 × 20,839
  4. Step 4: Simplify right side
    38,503x = 1,107,262,343.46
  5. Step 5: Solve for x
    x = 1,107,262,343.46/38,503
  6. Step 6: Final answer
    x = 28,757.82

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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.