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Finding the Fourth Proportional to 36,497, 50,365.88 and 19,730

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Solution

The fourth proportional to 36,497, 50,365.88 and 19,730 is: 27,227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,497 : 50,365.88 = 19,730 : x
  2. Step 2: Convert to fraction form
    36,497/50,365.88 = 19,730/x
  3. Step 3: Cross multiply
    36,497x = 50,365.88 × 19,730
  4. Step 4: Simplify right side
    36,497x = 993,718,812.40
  5. Step 5: Solve for x
    x = 993,718,812.40/36,497
  6. Step 6: Final answer
    x = 27,227.41

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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.