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Finding the Fourth Proportional to 36,542, 50,428.01 and 19,775

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Solution

The fourth proportional to 36,542, 50,428.01 and 19,775 is: 27,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,542 : 50,428.01 = 19,775 : x
  2. Step 2: Convert to fraction form
    36,542/50,428.01 = 19,775/x
  3. Step 3: Cross multiply
    36,542x = 50,428.01 × 19,775
  4. Step 4: Simplify right side
    36,542x = 997,213,897.75
  5. Step 5: Solve for x
    x = 997,213,897.75/36,542
  6. Step 6: Final answer
    x = 27,289.53

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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.