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Finding the Fourth Proportional to 133,765.05, 200,645.55 and 32,563.86

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Solution

The fourth proportional to 133,765.05, 200,645.55 and 32,563.86 is: 48,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,765.05 : 200,645.55 = 32,563.86 : x
  2. Step 2: Convert to fraction form
    133,765.05/200,645.55 = 32,563.86/x
  3. Step 3: Cross multiply
    133,765.05x = 200,645.55 × 32,563.86
  4. Step 4: Simplify right side
    133,765.05x = 6,533,793,599.82
  5. Step 5: Solve for x
    x = 6,533,793,599.82/133,765.05
  6. Step 6: Final answer
    x = 48,845.30

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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.