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Finding the Fourth Proportional to 133,750.86, 200,624.28 and 32,549.86

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Solution

The fourth proportional to 133,750.86, 200,624.28 and 32,549.86 is: 48,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,750.86 : 200,624.28 = 32,549.86 : x
  2. Step 2: Convert to fraction form
    133,750.86/200,624.28 = 32,549.86/x
  3. Step 3: Cross multiply
    133,750.86x = 200,624.28 × 32,549.86
  4. Step 4: Simplify right side
    133,750.86x = 6,530,292,226.60
  5. Step 5: Solve for x
    x = 6,530,292,226.60/133,750.86
  6. Step 6: Final answer
    x = 48,824.30

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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.