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Finding the Fourth Proportional to 36,534.10, 50,411.65 and 22,186.47

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Solution

The fourth proportional to 36,534.10, 50,411.65 and 22,186.47 is: 30,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,534.10 : 50,411.65 = 22,186.47 : x
  2. Step 2: Convert to fraction form
    36,534.10/50,411.65 = 22,186.47/x
  3. Step 3: Cross multiply
    36,534.10x = 50,411.65 × 22,186.47
  4. Step 4: Simplify right side
    36,534.10x = 1,118,456,560.38
  5. Step 5: Solve for x
    x = 1,118,456,560.38/36,534.10
  6. Step 6: Final answer
    x = 30,614.04

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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.