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Finding the Fourth Proportional to 36,675, 50,624.62 and 21,771

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Solution

The fourth proportional to 36,675, 50,624.62 and 21,771 is: 30,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,675 : 50,624.62 = 21,771 : x
  2. Step 2: Convert to fraction form
    36,675/50,624.62 = 21,771/x
  3. Step 3: Cross multiply
    36,675x = 50,624.62 × 21,771
  4. Step 4: Simplify right side
    36,675x = 1,102,148,602.02
  5. Step 5: Solve for x
    x = 1,102,148,602.02/36,675
  6. Step 6: Final answer
    x = 30,051.77

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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.