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Finding the Fourth Proportional to 36,533.57, 50,451.15 and 34,543.38

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Solution

The fourth proportional to 36,533.57, 50,451.15 and 34,543.38 is: 47,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,533.57 : 50,451.15 = 34,543.38 : x
  2. Step 2: Convert to fraction form
    36,533.57/50,451.15 = 34,543.38/x
  3. Step 3: Cross multiply
    36,533.57x = 50,451.15 × 34,543.38
  4. Step 4: Simplify right side
    36,533.57x = 1,742,753,245.89
  5. Step 5: Solve for x
    x = 1,742,753,245.89/36,533.57
  6. Step 6: Final answer
    x = 47,702.80

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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.