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Finding the Fourth Proportional to 36,342, 50,156.12 and 20,210.92

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Solution

The fourth proportional to 36,342, 50,156.12 and 20,210.92 is: 27,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,342 : 50,156.12 = 20,210.92 : x
  2. Step 2: Convert to fraction form
    36,342/50,156.12 = 20,210.92/x
  3. Step 3: Cross multiply
    36,342x = 50,156.12 × 20,210.92
  4. Step 4: Simplify right side
    36,342x = 1,013,701,328.83
  5. Step 5: Solve for x
    x = 1,013,701,328.83/36,342
  6. Step 6: Final answer
    x = 27,893.38

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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.