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Finding the Fourth Proportional to 133,799.17, 200,697.84 and 32,596.03

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Solution

The fourth proportional to 133,799.17, 200,697.84 and 32,596.03 is: 48,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,799.17 : 200,697.84 = 32,596.03 : x
  2. Step 2: Convert to fraction form
    133,799.17/200,697.84 = 32,596.03/x
  3. Step 3: Cross multiply
    133,799.17x = 200,697.84 × 32,596.03
  4. Step 4: Simplify right side
    133,799.17x = 6,541,952,813.58
  5. Step 5: Solve for x
    x = 6,541,952,813.58/133,799.17
  6. Step 6: Final answer
    x = 48,893.82

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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.