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Finding the Fourth Proportional to 36,881.98, 50,888.38 and 20,965.17

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Solution

The fourth proportional to 36,881.98, 50,888.38 and 20,965.17 is: 28,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,881.98 : 50,888.38 = 20,965.17 : x
  2. Step 2: Convert to fraction form
    36,881.98/50,888.38 = 20,965.17/x
  3. Step 3: Cross multiply
    36,881.98x = 50,888.38 × 20,965.17
  4. Step 4: Simplify right side
    36,881.98x = 1,066,883,432.90
  5. Step 5: Solve for x
    x = 1,066,883,432.90/36,881.98
  6. Step 6: Final answer
    x = 28,926.96

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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.