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Finding the Fourth Proportional to 36,677, 50,614.87 and 19,910

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Solution

The fourth proportional to 36,677, 50,614.87 and 19,910 is: 27,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,677 : 50,614.87 = 19,910 : x
  2. Step 2: Convert to fraction form
    36,677/50,614.87 = 19,910/x
  3. Step 3: Cross multiply
    36,677x = 50,614.87 × 19,910
  4. Step 4: Simplify right side
    36,677x = 1,007,742,061.70
  5. Step 5: Solve for x
    x = 1,007,742,061.70/36,677
  6. Step 6: Final answer
    x = 27,476.13

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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.