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Finding the Fourth Proportional to 36,597, 50,503.92 and 19,830

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Solution

The fourth proportional to 36,597, 50,503.92 and 19,830 is: 27,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,597 : 50,503.92 = 19,830 : x
  2. Step 2: Convert to fraction form
    36,597/50,503.92 = 19,830/x
  3. Step 3: Cross multiply
    36,597x = 50,503.92 × 19,830
  4. Step 4: Simplify right side
    36,597x = 1,001,492,733.60
  5. Step 5: Solve for x
    x = 1,001,492,733.60/36,597
  6. Step 6: Final answer
    x = 27,365.43

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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.