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Finding the Fourth Proportional to 36,301, 50,104.08 and 22,165.84

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Solution

The fourth proportional to 36,301, 50,104.08 and 22,165.84 is: 30,594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,301 : 50,104.08 = 22,165.84 : x
  2. Step 2: Convert to fraction form
    36,301/50,104.08 = 22,165.84/x
  3. Step 3: Cross multiply
    36,301x = 50,104.08 × 22,165.84
  4. Step 4: Simplify right side
    36,301x = 1,110,599,020.63
  5. Step 5: Solve for x
    x = 1,110,599,020.63/36,301
  6. Step 6: Final answer
    x = 30,594.17

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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.