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Finding the Fourth Proportional to 92,107.92, 138,161.76 and 36,742.80

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Solution

The fourth proportional to 92,107.92, 138,161.76 and 36,742.80 is: 55,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,107.92 : 138,161.76 = 36,742.80 : x
  2. Step 2: Convert to fraction form
    92,107.92/138,161.76 = 36,742.80/x
  3. Step 3: Cross multiply
    92,107.92x = 138,161.76 × 36,742.80
  4. Step 4: Simplify right side
    92,107.92x = 5,076,449,915.33
  5. Step 5: Solve for x
    x = 5,076,449,915.33/92,107.92
  6. Step 6: Final answer
    x = 55,114.15

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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.