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Finding the Fourth Proportional to 133,795.22, 200,691.92 and 32,592.08

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Solution

The fourth proportional to 133,795.22, 200,691.92 and 32,592.08 is: 48,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,795.22 : 200,691.92 = 32,592.08 : x
  2. Step 2: Convert to fraction form
    133,795.22/200,691.92 = 32,592.08/x
  3. Step 3: Cross multiply
    133,795.22x = 200,691.92 × 32,592.08
  4. Step 4: Simplify right side
    133,795.22x = 6,540,967,111.99
  5. Step 5: Solve for x
    x = 6,540,967,111.99/133,795.22
  6. Step 6: Final answer
    x = 48,887.90

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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.