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Finding the Fourth Proportional to 131,029, 196,544.78 and 32,533

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Solution

The fourth proportional to 131,029, 196,544.78 and 32,533 is: 48,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,029 : 196,544.78 = 32,533 : x
  2. Step 2: Convert to fraction form
    131,029/196,544.78 = 32,533/x
  3. Step 3: Cross multiply
    131,029x = 196,544.78 × 32,533
  4. Step 4: Simplify right side
    131,029x = 6,394,191,327.74
  5. Step 5: Solve for x
    x = 6,394,191,327.74/131,029
  6. Step 6: Final answer
    x = 48,799.82

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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.