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Finding the Fourth Proportional to 36,754.64, 50,705.16 and 21,842

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Solution

The fourth proportional to 36,754.64, 50,705.16 and 21,842 is: 30,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,754.64 : 50,705.16 = 21,842 : x
  2. Step 2: Convert to fraction form
    36,754.64/50,705.16 = 21,842/x
  3. Step 3: Cross multiply
    36,754.64x = 50,705.16 × 21,842
  4. Step 4: Simplify right side
    36,754.64x = 1,107,502,104.72
  5. Step 5: Solve for x
    x = 1,107,502,104.72/36,754.64
  6. Step 6: Final answer
    x = 30,132.31

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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.