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Finding the Fourth Proportional to 37,827.60, 56,741.40 and 33,680.40

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Solution

The fourth proportional to 37,827.60, 56,741.40 and 33,680.40 is: 50,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,827.60 : 56,741.40 = 33,680.40 : x
  2. Step 2: Convert to fraction form
    37,827.60/56,741.40 = 33,680.40/x
  3. Step 3: Cross multiply
    37,827.60x = 56,741.40 × 33,680.40
  4. Step 4: Simplify right side
    37,827.60x = 1,911,073,048.56
  5. Step 5: Solve for x
    x = 1,911,073,048.56/37,827.60
  6. Step 6: Final answer
    x = 50,520.60

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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.