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Finding the Fourth Proportional to 37,350, 51,543 and 22,446

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Solution

The fourth proportional to 37,350, 51,543 and 22,446 is: 30,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,350 : 51,543 = 22,446 : x
  2. Step 2: Convert to fraction form
    37,350/51,543 = 22,446/x
  3. Step 3: Cross multiply
    37,350x = 51,543 × 22,446
  4. Step 4: Simplify right side
    37,350x = 1,156,934,178
  5. Step 5: Solve for x
    x = 1,156,934,178/37,350
  6. Step 6: Final answer
    x = 30,975.48

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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.