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Finding the Fourth Proportional to 92,414.85, 138,637.22 and 36,224.48

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Solution

The fourth proportional to 92,414.85, 138,637.22 and 36,224.48 is: 54,342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,414.85 : 138,637.22 = 36,224.48 : x
  2. Step 2: Convert to fraction form
    92,414.85/138,637.22 = 36,224.48/x
  3. Step 3: Cross multiply
    92,414.85x = 138,637.22 × 36,224.48
  4. Step 4: Simplify right side
    92,414.85x = 5,022,060,328.84
  5. Step 5: Solve for x
    x = 5,022,060,328.84/92,414.85
  6. Step 6: Final answer
    x = 54,342.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.