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Finding the Fourth Proportional to 57,077.40, 85,640.40 and 36,033.60

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Solution

The fourth proportional to 57,077.40, 85,640.40 and 36,033.60 is: 54,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,077.40 : 85,640.40 = 36,033.60 : x
  2. Step 2: Convert to fraction form
    57,077.40/85,640.40 = 36,033.60/x
  3. Step 3: Cross multiply
    57,077.40x = 85,640.40 × 36,033.60
  4. Step 4: Simplify right side
    57,077.40x = 3,085,931,917.44
  5. Step 5: Solve for x
    x = 3,085,931,917.44/57,077.40
  6. Step 6: Final answer
    x = 54,065.74

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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.